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Finding the Fourth Proportional to 713.52, 985.08 and 547.44

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Solution

The fourth proportional to 713.52, 985.08 and 547.44 is: 755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.52 : 985.08 = 547.44 : x
  2. Step 2: Convert to fraction form
    713.52/985.08 = 547.44/x
  3. Step 3: Cross multiply
    713.52x = 985.08 × 547.44
  4. Step 4: Simplify right side
    713.52x = 539,272.20
  5. Step 5: Solve for x
    x = 539,272.20/713.52
  6. Step 6: Final answer
    x = 755.79

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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.