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Finding the Fourth Proportional to 728.69, 1,004.72 and 595.42

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Solution

The fourth proportional to 728.69, 1,004.72 and 595.42 is: 820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.69 : 1,004.72 = 595.42 : x
  2. Step 2: Convert to fraction form
    728.69/1,004.72 = 595.42/x
  3. Step 3: Cross multiply
    728.69x = 1,004.72 × 595.42
  4. Step 4: Simplify right side
    728.69x = 598,226.38
  5. Step 5: Solve for x
    x = 598,226.38/728.69
  6. Step 6: Final answer
    x = 820.96

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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.