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Finding the Fourth Proportional to 885.70, 1,327.62 and 577.69

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Solution

The fourth proportional to 885.70, 1,327.62 and 577.69 is: 865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.70 : 1,327.62 = 577.69 : x
  2. Step 2: Convert to fraction form
    885.70/1,327.62 = 577.69/x
  3. Step 3: Cross multiply
    885.70x = 1,327.62 × 577.69
  4. Step 4: Simplify right side
    885.70x = 766,952.80
  5. Step 5: Solve for x
    x = 766,952.80/885.70
  6. Step 6: Final answer
    x = 865.93

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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.