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Finding the Fourth Proportional to 743.72, 1,114.97 and 582.12

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Solution

The fourth proportional to 743.72, 1,114.97 and 582.12 is: 872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.72 : 1,114.97 = 582.12 : x
  2. Step 2: Convert to fraction form
    743.72/1,114.97 = 582.12/x
  3. Step 3: Cross multiply
    743.72x = 1,114.97 × 582.12
  4. Step 4: Simplify right side
    743.72x = 649,043.43
  5. Step 5: Solve for x
    x = 649,043.43/743.72
  6. Step 6: Final answer
    x = 872.70

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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.