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Finding the Fourth Proportional to 728.38, 1,005.98 and 564.57

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Solution

The fourth proportional to 728.38, 1,005.98 and 564.57 is: 779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.38 : 1,005.98 = 564.57 : x
  2. Step 2: Convert to fraction form
    728.38/1,005.98 = 564.57/x
  3. Step 3: Cross multiply
    728.38x = 1,005.98 × 564.57
  4. Step 4: Simplify right side
    728.38x = 567,946.13
  5. Step 5: Solve for x
    x = 567,946.13/728.38
  6. Step 6: Final answer
    x = 779.74

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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.