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Finding the Fourth Proportional to 801.44, 1,105.88 and 486.72

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Solution

The fourth proportional to 801.44, 1,105.88 and 486.72 is: 671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.44 : 1,105.88 = 486.72 : x
  2. Step 2: Convert to fraction form
    801.44/1,105.88 = 486.72/x
  3. Step 3: Cross multiply
    801.44x = 1,105.88 × 486.72
  4. Step 4: Simplify right side
    801.44x = 538,254.40
  5. Step 5: Solve for x
    x = 538,254.40/801.44
  6. Step 6: Final answer
    x = 671.61

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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.