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Finding the Fourth Proportional to 1,031.76, 1,545.78 and 684.27

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Solution

The fourth proportional to 1,031.76, 1,545.78 and 684.27 is: 1,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.76 : 1,545.78 = 684.27 : x
  2. Step 2: Convert to fraction form
    1,031.76/1,545.78 = 684.27/x
  3. Step 3: Cross multiply
    1,031.76x = 1,545.78 × 684.27
  4. Step 4: Simplify right side
    1,031.76x = 1,057,730.88
  5. Step 5: Solve for x
    x = 1,057,730.88/1,031.76
  6. Step 6: Final answer
    x = 1,025.17

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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.