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Finding the Fourth Proportional to 1,244.86, 1,717.62 and 747.28

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Solution

The fourth proportional to 1,244.86, 1,717.62 and 747.28 is: 1,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.86 : 1,717.62 = 747.28 : x
  2. Step 2: Convert to fraction form
    1,244.86/1,717.62 = 747.28/x
  3. Step 3: Cross multiply
    1,244.86x = 1,717.62 × 747.28
  4. Step 4: Simplify right side
    1,244.86x = 1,283,543.07
  5. Step 5: Solve for x
    x = 1,283,543.07/1,244.86
  6. Step 6: Final answer
    x = 1,031.07

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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.