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Finding the Fourth Proportional to 1,139.13, 1,708.73 and 317.40

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Solution

The fourth proportional to 1,139.13, 1,708.73 and 317.40 is: 476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.13 : 1,708.73 = 317.40 : x
  2. Step 2: Convert to fraction form
    1,139.13/1,708.73 = 317.40/x
  3. Step 3: Cross multiply
    1,139.13x = 1,708.73 × 317.40
  4. Step 4: Simplify right side
    1,139.13x = 542,350.90
  5. Step 5: Solve for x
    x = 542,350.90/1,139.13
  6. Step 6: Final answer
    x = 476.11

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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.