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Finding the Fourth Proportional to 1,411.29, 2,116.80 and 863.19

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Solution

The fourth proportional to 1,411.29, 2,116.80 and 863.19 is: 1,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.29 : 2,116.80 = 863.19 : x
  2. Step 2: Convert to fraction form
    1,411.29/2,116.80 = 863.19/x
  3. Step 3: Cross multiply
    1,411.29x = 2,116.80 × 863.19
  4. Step 4: Simplify right side
    1,411.29x = 1,827,200.59
  5. Step 5: Solve for x
    x = 1,827,200.59/1,411.29
  6. Step 6: Final answer
    x = 1,294.70

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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.