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Finding the Fourth Proportional to 728.32, 1,091 and 582.32

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Solution

The fourth proportional to 728.32, 1,091 and 582.32 is: 872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.32 : 1,091 = 582.32 : x
  2. Step 2: Convert to fraction form
    728.32/1,091 = 582.32/x
  3. Step 3: Cross multiply
    728.32x = 1,091 × 582.32
  4. Step 4: Simplify right side
    728.32x = 635,311.12
  5. Step 5: Solve for x
    x = 635,311.12/728.32
  6. Step 6: Final answer
    x = 872.30

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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.