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Finding the Fourth Proportional to 728.44, 1,006.23 and 582.10

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Solution

The fourth proportional to 728.44, 1,006.23 and 582.10 is: 804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.44 : 1,006.23 = 582.10 : x
  2. Step 2: Convert to fraction form
    728.44/1,006.23 = 582.10/x
  3. Step 3: Cross multiply
    728.44x = 1,006.23 × 582.10
  4. Step 4: Simplify right side
    728.44x = 585,726.48
  5. Step 5: Solve for x
    x = 585,726.48/728.44
  6. Step 6: Final answer
    x = 804.08

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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.