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Finding the Fourth Proportional to 902.52, 1,245.48 and 553.20

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Solution

The fourth proportional to 902.52, 1,245.48 and 553.20 is: 763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.52 : 1,245.48 = 553.20 : x
  2. Step 2: Convert to fraction form
    902.52/1,245.48 = 553.20/x
  3. Step 3: Cross multiply
    902.52x = 1,245.48 × 553.20
  4. Step 4: Simplify right side
    902.52x = 688,999.54
  5. Step 5: Solve for x
    x = 688,999.54/902.52
  6. Step 6: Final answer
    x = 763.42

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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.