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Finding the Fourth Proportional to 1,314.13, 1,813.49 and 724.72

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Solution

The fourth proportional to 1,314.13, 1,813.49 and 724.72 is: 1,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.13 : 1,813.49 = 724.72 : x
  2. Step 2: Convert to fraction form
    1,314.13/1,813.49 = 724.72/x
  3. Step 3: Cross multiply
    1,314.13x = 1,813.49 × 724.72
  4. Step 4: Simplify right side
    1,314.13x = 1,314,272.47
  5. Step 5: Solve for x
    x = 1,314,272.47/1,314.13
  6. Step 6: Final answer
    x = 1,000.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.