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Finding the Fourth Proportional to 1,244.50, 1,717.44 and 747.16

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Solution

The fourth proportional to 1,244.50, 1,717.44 and 747.16 is: 1,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.50 : 1,717.44 = 747.16 : x
  2. Step 2: Convert to fraction form
    1,244.50/1,717.44 = 747.16/x
  3. Step 3: Cross multiply
    1,244.50x = 1,717.44 × 747.16
  4. Step 4: Simplify right side
    1,244.50x = 1,283,202.47
  5. Step 5: Solve for x
    x = 1,283,202.47/1,244.50
  6. Step 6: Final answer
    x = 1,031.10

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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.