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Finding the Fourth Proportional to 626.96, 938.76 and 535.12

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Solution

The fourth proportional to 626.96, 938.76 and 535.12 is: 801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.96 : 938.76 = 535.12 : x
  2. Step 2: Convert to fraction form
    626.96/938.76 = 535.12/x
  3. Step 3: Cross multiply
    626.96x = 938.76 × 535.12
  4. Step 4: Simplify right side
    626.96x = 502,349.25
  5. Step 5: Solve for x
    x = 502,349.25/626.96
  6. Step 6: Final answer
    x = 801.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.