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Finding the Fourth Proportional to 1,259.40, 1,737.20 and 748.03

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Solution

The fourth proportional to 1,259.40, 1,737.20 and 748.03 is: 1,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.40 : 1,737.20 = 748.03 : x
  2. Step 2: Convert to fraction form
    1,259.40/1,737.20 = 748.03/x
  3. Step 3: Cross multiply
    1,259.40x = 1,737.20 × 748.03
  4. Step 4: Simplify right side
    1,259.40x = 1,299,465.29
  5. Step 5: Solve for x
    x = 1,299,465.29/1,259.40
  6. Step 6: Final answer
    x = 1,031.82

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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.