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Finding the Fourth Proportional to 886.63, 1,327.23 and 577.81

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Solution

The fourth proportional to 886.63, 1,327.23 and 577.81 is: 864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.63 : 1,327.23 = 577.81 : x
  2. Step 2: Convert to fraction form
    886.63/1,327.23 = 577.81/x
  3. Step 3: Cross multiply
    886.63x = 1,327.23 × 577.81
  4. Step 4: Simplify right side
    886.63x = 766,886.77
  5. Step 5: Solve for x
    x = 766,886.77/886.63
  6. Step 6: Final answer
    x = 864.95

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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.