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Finding the Fourth Proportional to 1,094.47, 1,641.10 and 748.20

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Solution

The fourth proportional to 1,094.47, 1,641.10 and 748.20 is: 1,121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.47 : 1,641.10 = 748.20 : x
  2. Step 2: Convert to fraction form
    1,094.47/1,641.10 = 748.20/x
  3. Step 3: Cross multiply
    1,094.47x = 1,641.10 × 748.20
  4. Step 4: Simplify right side
    1,094.47x = 1,227,871.02
  5. Step 5: Solve for x
    x = 1,227,871.02/1,094.47
  6. Step 6: Final answer
    x = 1,121.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.