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Finding the Fourth Proportional to 1,139.14, 1,708.53 and 317.24

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Solution

The fourth proportional to 1,139.14, 1,708.53 and 317.24 is: 475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.14 : 1,708.53 = 317.24 : x
  2. Step 2: Convert to fraction form
    1,139.14/1,708.53 = 317.24/x
  3. Step 3: Cross multiply
    1,139.14x = 1,708.53 × 317.24
  4. Step 4: Simplify right side
    1,139.14x = 542,010.73
  5. Step 5: Solve for x
    x = 542,010.73/1,139.14
  6. Step 6: Final answer
    x = 475.81

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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.