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Finding the Fourth Proportional to 1,244.47, 1,717.45 and 747.10

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Solution

The fourth proportional to 1,244.47, 1,717.45 and 747.10 is: 1,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.47 : 1,717.45 = 747.10 : x
  2. Step 2: Convert to fraction form
    1,244.47/1,717.45 = 747.10/x
  3. Step 3: Cross multiply
    1,244.47x = 1,717.45 × 747.10
  4. Step 4: Simplify right side
    1,244.47x = 1,283,106.90
  5. Step 5: Solve for x
    x = 1,283,106.90/1,244.47
  6. Step 6: Final answer
    x = 1,031.05

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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.