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Finding the Fourth Proportional to 747.69, 1,031.63 and 550.86

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Solution

The fourth proportional to 747.69, 1,031.63 and 550.86 is: 760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.69 : 1,031.63 = 550.86 : x
  2. Step 2: Convert to fraction form
    747.69/1,031.63 = 550.86/x
  3. Step 3: Cross multiply
    747.69x = 1,031.63 × 550.86
  4. Step 4: Simplify right side
    747.69x = 568,283.70
  5. Step 5: Solve for x
    x = 568,283.70/747.69
  6. Step 6: Final answer
    x = 760.05

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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.