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Finding the Fourth Proportional to 1,240.23, 1,711.57 and 742.78

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Solution

The fourth proportional to 1,240.23, 1,711.57 and 742.78 is: 1,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.23 : 1,711.57 = 742.78 : x
  2. Step 2: Convert to fraction form
    1,240.23/1,711.57 = 742.78/x
  3. Step 3: Cross multiply
    1,240.23x = 1,711.57 × 742.78
  4. Step 4: Simplify right side
    1,240.23x = 1,271,314.80
  5. Step 5: Solve for x
    x = 1,271,314.80/1,240.23
  6. Step 6: Final answer
    x = 1,025.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.