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Finding the Fourth Proportional to 1,139.89, 1,710.05 and 409.43

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Solution

The fourth proportional to 1,139.89, 1,710.05 and 409.43 is: 614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.89 : 1,710.05 = 409.43 : x
  2. Step 2: Convert to fraction form
    1,139.89/1,710.05 = 409.43/x
  3. Step 3: Cross multiply
    1,139.89x = 1,710.05 × 409.43
  4. Step 4: Simplify right side
    1,139.89x = 700,145.77
  5. Step 5: Solve for x
    x = 700,145.77/1,139.89
  6. Step 6: Final answer
    x = 614.22

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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.