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Finding the Fourth Proportional to 1,018.67, 1,527.89 and 691.71

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Solution

The fourth proportional to 1,018.67, 1,527.89 and 691.71 is: 1,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.67 : 1,527.89 = 691.71 : x
  2. Step 2: Convert to fraction form
    1,018.67/1,527.89 = 691.71/x
  3. Step 3: Cross multiply
    1,018.67x = 1,527.89 × 691.71
  4. Step 4: Simplify right side
    1,018.67x = 1,056,849.15
  5. Step 5: Solve for x
    x = 1,056,849.15/1,018.67
  6. Step 6: Final answer
    x = 1,037.48

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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.