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Finding the Fourth Proportional to 688.93, 951.55 and 502.13

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Solution

The fourth proportional to 688.93, 951.55 and 502.13 is: 693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.93 : 951.55 = 502.13 : x
  2. Step 2: Convert to fraction form
    688.93/951.55 = 502.13/x
  3. Step 3: Cross multiply
    688.93x = 951.55 × 502.13
  4. Step 4: Simplify right side
    688.93x = 477,801.80
  5. Step 5: Solve for x
    x = 477,801.80/688.93
  6. Step 6: Final answer
    x = 693.54

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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.