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Finding the Fourth Proportional to 886.59, 1,327.14 and 577.77

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Solution

The fourth proportional to 886.59, 1,327.14 and 577.77 is: 864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.59 : 1,327.14 = 577.77 : x
  2. Step 2: Convert to fraction form
    886.59/1,327.14 = 577.77/x
  3. Step 3: Cross multiply
    886.59x = 1,327.14 × 577.77
  4. Step 4: Simplify right side
    886.59x = 766,785.00
  5. Step 5: Solve for x
    x = 766,785.00/886.59
  6. Step 6: Final answer
    x = 864.87

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