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Finding the Fourth Proportional to 1,349.76, 1,862.56 and 760.24

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Solution

The fourth proportional to 1,349.76, 1,862.56 and 760.24 is: 1,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.76 : 1,862.56 = 760.24 : x
  2. Step 2: Convert to fraction form
    1,349.76/1,862.56 = 760.24/x
  3. Step 3: Cross multiply
    1,349.76x = 1,862.56 × 760.24
  4. Step 4: Simplify right side
    1,349.76x = 1,415,992.61
  5. Step 5: Solve for x
    x = 1,415,992.61/1,349.76
  6. Step 6: Final answer
    x = 1,049.07

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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.