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Finding the Fourth Proportional to 693.15, 956.66 and 497.31

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Solution

The fourth proportional to 693.15, 956.66 and 497.31 is: 686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.15 : 956.66 = 497.31 : x
  2. Step 2: Convert to fraction form
    693.15/956.66 = 497.31/x
  3. Step 3: Cross multiply
    693.15x = 956.66 × 497.31
  4. Step 4: Simplify right side
    693.15x = 475,754.10
  5. Step 5: Solve for x
    x = 475,754.10/693.15
  6. Step 6: Final answer
    x = 686.37

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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.