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Finding the Fourth Proportional to 691.07, 1,037.07 and 474.26

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Solution

The fourth proportional to 691.07, 1,037.07 and 474.26 is: 711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.07 : 1,037.07 = 474.26 : x
  2. Step 2: Convert to fraction form
    691.07/1,037.07 = 474.26/x
  3. Step 3: Cross multiply
    691.07x = 1,037.07 × 474.26
  4. Step 4: Simplify right side
    691.07x = 491,835.63
  5. Step 5: Solve for x
    x = 491,835.63/691.07
  6. Step 6: Final answer
    x = 711.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.