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Finding the Fourth Proportional to 691.08, 953.80 and 516.92

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Solution

The fourth proportional to 691.08, 953.80 and 516.92 is: 713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.08 : 953.80 = 516.92 : x
  2. Step 2: Convert to fraction form
    691.08/953.80 = 516.92/x
  3. Step 3: Cross multiply
    691.08x = 953.80 × 516.92
  4. Step 4: Simplify right side
    691.08x = 493,038.30
  5. Step 5: Solve for x
    x = 493,038.30/691.08
  6. Step 6: Final answer
    x = 713.43

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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.