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Finding the Fourth Proportional to 696.86, 961.45 and 497.53

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Solution

The fourth proportional to 696.86, 961.45 and 497.53 is: 686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.86 : 961.45 = 497.53 : x
  2. Step 2: Convert to fraction form
    696.86/961.45 = 497.53/x
  3. Step 3: Cross multiply
    696.86x = 961.45 × 497.53
  4. Step 4: Simplify right side
    696.86x = 478,342.92
  5. Step 5: Solve for x
    x = 478,342.92/696.86
  6. Step 6: Final answer
    x = 686.43

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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.