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Finding the Fourth Proportional to 1,139.15, 1,708.70 and 317.40

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Solution

The fourth proportional to 1,139.15, 1,708.70 and 317.40 is: 476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.15 : 1,708.70 = 317.40 : x
  2. Step 2: Convert to fraction form
    1,139.15/1,708.70 = 317.40/x
  3. Step 3: Cross multiply
    1,139.15x = 1,708.70 × 317.40
  4. Step 4: Simplify right side
    1,139.15x = 542,340.40
  5. Step 5: Solve for x
    x = 542,340.40/1,139.15
  6. Step 6: Final answer
    x = 476.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.