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Finding the Fourth Proportional to 689.62, 951.53 and 503.15

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Solution

The fourth proportional to 689.62, 951.53 and 503.15 is: 694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.62 : 951.53 = 503.15 : x
  2. Step 2: Convert to fraction form
    689.62/951.53 = 503.15/x
  3. Step 3: Cross multiply
    689.62x = 951.53 × 503.15
  4. Step 4: Simplify right side
    689.62x = 478,762.18
  5. Step 5: Solve for x
    x = 478,762.18/689.62
  6. Step 6: Final answer
    x = 694.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.