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Finding the Fourth Proportional to 1,029.59, 1,545.75 and 482.15

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Solution

The fourth proportional to 1,029.59, 1,545.75 and 482.15 is: 723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.59 : 1,545.75 = 482.15 : x
  2. Step 2: Convert to fraction form
    1,029.59/1,545.75 = 482.15/x
  3. Step 3: Cross multiply
    1,029.59x = 1,545.75 × 482.15
  4. Step 4: Simplify right side
    1,029.59x = 745,283.36
  5. Step 5: Solve for x
    x = 745,283.36/1,029.59
  6. Step 6: Final answer
    x = 723.86

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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.