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Finding the Fourth Proportional to 728.12, 1,004.82 and 570.94

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Solution

The fourth proportional to 728.12, 1,004.82 and 570.94 is: 787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.12 : 1,004.82 = 570.94 : x
  2. Step 2: Convert to fraction form
    728.12/1,004.82 = 570.94/x
  3. Step 3: Cross multiply
    728.12x = 1,004.82 × 570.94
  4. Step 4: Simplify right side
    728.12x = 573,691.93
  5. Step 5: Solve for x
    x = 573,691.93/728.12
  6. Step 6: Final answer
    x = 787.91

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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.