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Finding the Fourth Proportional to 902.76, 1,245.83 and 509.78

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Solution

The fourth proportional to 902.76, 1,245.83 and 509.78 is: 703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.76 : 1,245.83 = 509.78 : x
  2. Step 2: Convert to fraction form
    902.76/1,245.83 = 509.78/x
  3. Step 3: Cross multiply
    902.76x = 1,245.83 × 509.78
  4. Step 4: Simplify right side
    902.76x = 635,090.44
  5. Step 5: Solve for x
    x = 635,090.44/902.76
  6. Step 6: Final answer
    x = 703.50

Related Problems

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Half scale
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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.