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Finding the Fourth Proportional to 1,031.16, 1,545.66 and 483.69

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Solution

The fourth proportional to 1,031.16, 1,545.66 and 483.69 is: 725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.16 : 1,545.66 = 483.69 : x
  2. Step 2: Convert to fraction form
    1,031.16/1,545.66 = 483.69/x
  3. Step 3: Cross multiply
    1,031.16x = 1,545.66 × 483.69
  4. Step 4: Simplify right side
    1,031.16x = 747,620.29
  5. Step 5: Solve for x
    x = 747,620.29/1,031.16
  6. Step 6: Final answer
    x = 725.03

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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.