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Finding the Fourth Proportional to 691.96, 1,037.52 and 281.16

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Solution

The fourth proportional to 691.96, 1,037.52 and 281.16 is: 421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.96 : 1,037.52 = 281.16 : x
  2. Step 2: Convert to fraction form
    691.96/1,037.52 = 281.16/x
  3. Step 3: Cross multiply
    691.96x = 1,037.52 × 281.16
  4. Step 4: Simplify right side
    691.96x = 291,709.12
  5. Step 5: Solve for x
    x = 291,709.12/691.96
  6. Step 6: Final answer
    x = 421.57

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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.