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Finding the Fourth Proportional to 1,031.52, 1,545.22 and 620.43

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Solution

The fourth proportional to 1,031.52, 1,545.22 and 620.43 is: 929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.52 : 1,545.22 = 620.43 : x
  2. Step 2: Convert to fraction form
    1,031.52/1,545.22 = 620.43/x
  3. Step 3: Cross multiply
    1,031.52x = 1,545.22 × 620.43
  4. Step 4: Simplify right side
    1,031.52x = 958,700.84
  5. Step 5: Solve for x
    x = 958,700.84/1,031.52
  6. Step 6: Final answer
    x = 929.41

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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.