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Finding the Fourth Proportional to 1,248.14, 1,721.90 and 750.49

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Solution

The fourth proportional to 1,248.14, 1,721.90 and 750.49 is: 1,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.14 : 1,721.90 = 750.49 : x
  2. Step 2: Convert to fraction form
    1,248.14/1,721.90 = 750.49/x
  3. Step 3: Cross multiply
    1,248.14x = 1,721.90 × 750.49
  4. Step 4: Simplify right side
    1,248.14x = 1,292,266.30
  5. Step 5: Solve for x
    x = 1,292,266.30/1,248.14
  6. Step 6: Final answer
    x = 1,035.35

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