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Finding the Fourth Proportional to 902.69, 1,245.60 and 509.70

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Solution

The fourth proportional to 902.69, 1,245.60 and 509.70 is: 703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.69 : 1,245.60 = 509.70 : x
  2. Step 2: Convert to fraction form
    902.69/1,245.60 = 509.70/x
  3. Step 3: Cross multiply
    902.69x = 1,245.60 × 509.70
  4. Step 4: Simplify right side
    902.69x = 634,882.32
  5. Step 5: Solve for x
    x = 634,882.32/902.69
  6. Step 6: Final answer
    x = 703.33

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Double scale
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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.