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Finding the Fourth Proportional to 691.08, 952.86 and 474.94

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Solution

The fourth proportional to 691.08, 952.86 and 474.94 is: 654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.08 : 952.86 = 474.94 : x
  2. Step 2: Convert to fraction form
    691.08/952.86 = 474.94/x
  3. Step 3: Cross multiply
    691.08x = 952.86 × 474.94
  4. Step 4: Simplify right side
    691.08x = 452,551.33
  5. Step 5: Solve for x
    x = 452,551.33/691.08
  6. Step 6: Final answer
    x = 654.85

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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.