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Finding the Fourth Proportional to 1,035.27, 1,545.73 and 1,024.88

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Solution

The fourth proportional to 1,035.27, 1,545.73 and 1,024.88 is: 1,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.27 : 1,545.73 = 1,024.88 : x
  2. Step 2: Convert to fraction form
    1,035.27/1,545.73 = 1,024.88/x
  3. Step 3: Cross multiply
    1,035.27x = 1,545.73 × 1,024.88
  4. Step 4: Simplify right side
    1,035.27x = 1,584,177.47
  5. Step 5: Solve for x
    x = 1,584,177.47/1,035.27
  6. Step 6: Final answer
    x = 1,530.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.