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Finding the Fourth Proportional to 743.52, 1,112.80 and 717.60

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Solution

The fourth proportional to 743.52, 1,112.80 and 717.60 is: 1,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.52 : 1,112.80 = 717.60 : x
  2. Step 2: Convert to fraction form
    743.52/1,112.80 = 717.60/x
  3. Step 3: Cross multiply
    743.52x = 1,112.80 × 717.60
  4. Step 4: Simplify right side
    743.52x = 798,545.28
  5. Step 5: Solve for x
    x = 798,545.28/743.52
  6. Step 6: Final answer
    x = 1,074.01

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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.