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Finding the Fourth Proportional to 1,119.87, 1,546.06 and 748.08

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Solution

The fourth proportional to 1,119.87, 1,546.06 and 748.08 is: 1,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.87 : 1,546.06 = 748.08 : x
  2. Step 2: Convert to fraction form
    1,119.87/1,546.06 = 748.08/x
  3. Step 3: Cross multiply
    1,119.87x = 1,546.06 × 748.08
  4. Step 4: Simplify right side
    1,119.87x = 1,156,574.69
  5. Step 5: Solve for x
    x = 1,156,574.69/1,119.87
  6. Step 6: Final answer
    x = 1,032.78

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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.