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Finding the Fourth Proportional to 1,029.96, 1,545.62 and 482.76

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Solution

The fourth proportional to 1,029.96, 1,545.62 and 482.76 is: 724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.96 : 1,545.62 = 482.76 : x
  2. Step 2: Convert to fraction form
    1,029.96/1,545.62 = 482.76/x
  3. Step 3: Cross multiply
    1,029.96x = 1,545.62 × 482.76
  4. Step 4: Simplify right side
    1,029.96x = 746,161.10
  5. Step 5: Solve for x
    x = 746,161.10/1,029.96
  6. Step 6: Final answer
    x = 724.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.