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Finding the Fourth Proportional to 1,340.57, 2,011.71 and 724.70

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Solution

The fourth proportional to 1,340.57, 2,011.71 and 724.70 is: 1,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.57 : 2,011.71 = 724.70 : x
  2. Step 2: Convert to fraction form
    1,340.57/2,011.71 = 724.70/x
  3. Step 3: Cross multiply
    1,340.57x = 2,011.71 × 724.70
  4. Step 4: Simplify right side
    1,340.57x = 1,457,886.24
  5. Step 5: Solve for x
    x = 1,457,886.24/1,340.57
  6. Step 6: Final answer
    x = 1,087.51

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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.