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Finding the Fourth Proportional to 747.02, 1,117.80 and 439.02

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Solution

The fourth proportional to 747.02, 1,117.80 and 439.02 is: 656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.02 : 1,117.80 = 439.02 : x
  2. Step 2: Convert to fraction form
    747.02/1,117.80 = 439.02/x
  3. Step 3: Cross multiply
    747.02x = 1,117.80 × 439.02
  4. Step 4: Simplify right side
    747.02x = 490,736.56
  5. Step 5: Solve for x
    x = 490,736.56/747.02
  6. Step 6: Final answer
    x = 656.92

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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.