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Finding the Fourth Proportional to 886.77, 1,327.42 and 577.96

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Solution

The fourth proportional to 886.77, 1,327.42 and 577.96 is: 865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.77 : 1,327.42 = 577.96 : x
  2. Step 2: Convert to fraction form
    886.77/1,327.42 = 577.96/x
  3. Step 3: Cross multiply
    886.77x = 1,327.42 × 577.96
  4. Step 4: Simplify right side
    886.77x = 767,195.66
  5. Step 5: Solve for x
    x = 767,195.66/886.77
  6. Step 6: Final answer
    x = 865.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.