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Finding the Fourth Proportional to 1,411.92, 2,116.94 and 545.22

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Solution

The fourth proportional to 1,411.92, 2,116.94 and 545.22 is: 817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.92 : 2,116.94 = 545.22 : x
  2. Step 2: Convert to fraction form
    1,411.92/2,116.94 = 545.22/x
  3. Step 3: Cross multiply
    1,411.92x = 2,116.94 × 545.22
  4. Step 4: Simplify right side
    1,411.92x = 1,154,195.30
  5. Step 5: Solve for x
    x = 1,154,195.30/1,411.92
  6. Step 6: Final answer
    x = 817.47

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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.