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Finding the Fourth Proportional to 1,349.47, 1,862.24 and 759.97

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Solution

The fourth proportional to 1,349.47, 1,862.24 and 759.97 is: 1,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.47 : 1,862.24 = 759.97 : x
  2. Step 2: Convert to fraction form
    1,349.47/1,862.24 = 759.97/x
  3. Step 3: Cross multiply
    1,349.47x = 1,862.24 × 759.97
  4. Step 4: Simplify right side
    1,349.47x = 1,415,242.73
  5. Step 5: Solve for x
    x = 1,415,242.73/1,349.47
  6. Step 6: Final answer
    x = 1,048.74

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1.5x scale

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.