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Finding the Fourth Proportional to 1,030.24, 1,545.09 and 481.87

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Solution

The fourth proportional to 1,030.24, 1,545.09 and 481.87 is: 722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.24 : 1,545.09 = 481.87 : x
  2. Step 2: Convert to fraction form
    1,030.24/1,545.09 = 481.87/x
  3. Step 3: Cross multiply
    1,030.24x = 1,545.09 × 481.87
  4. Step 4: Simplify right side
    1,030.24x = 744,532.52
  5. Step 5: Solve for x
    x = 744,532.52/1,030.24
  6. Step 6: Final answer
    x = 722.68

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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.