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Finding the Fourth Proportional to 902.75, 1,245.66 and 509.70

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Solution

The fourth proportional to 902.75, 1,245.66 and 509.70 is: 703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.75 : 1,245.66 = 509.70 : x
  2. Step 2: Convert to fraction form
    902.75/1,245.66 = 509.70/x
  3. Step 3: Cross multiply
    902.75x = 1,245.66 × 509.70
  4. Step 4: Simplify right side
    902.75x = 634,915.03
  5. Step 5: Solve for x
    x = 634,915.03/902.75
  6. Step 6: Final answer
    x = 703.31

Related Problems

Find fourth proportional to 451.38, 622.83 and 254.85
Half scale
Find fourth proportional to 1,805.51, 2,491.32 and 1,019.40
Double scale
Find fourth proportional to 903.75, 1,247.04 and 510.70
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.