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Finding the Fourth Proportional to 800.72, 1,102.56 and 579.24

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Solution

The fourth proportional to 800.72, 1,102.56 and 579.24 is: 797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.72 : 1,102.56 = 579.24 : x
  2. Step 2: Convert to fraction form
    800.72/1,102.56 = 579.24/x
  3. Step 3: Cross multiply
    800.72x = 1,102.56 × 579.24
  4. Step 4: Simplify right side
    800.72x = 638,646.85
  5. Step 5: Solve for x
    x = 638,646.85/800.72
  6. Step 6: Final answer
    x = 797.59

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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.