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Finding the Fourth Proportional to 1,140.97, 1,711.46 and 410.76

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Solution

The fourth proportional to 1,140.97, 1,711.46 and 410.76 is: 616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.97 : 1,711.46 = 410.76 : x
  2. Step 2: Convert to fraction form
    1,140.97/1,711.46 = 410.76/x
  3. Step 3: Cross multiply
    1,140.97x = 1,711.46 × 410.76
  4. Step 4: Simplify right side
    1,140.97x = 702,999.31
  5. Step 5: Solve for x
    x = 702,999.31/1,140.97
  6. Step 6: Final answer
    x = 616.14

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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.