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Finding the Fourth Proportional to 885.38, 1,330.02 and 577.71

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Solution

The fourth proportional to 885.38, 1,330.02 and 577.71 is: 867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.38 : 1,330.02 = 577.71 : x
  2. Step 2: Convert to fraction form
    885.38/1,330.02 = 577.71/x
  3. Step 3: Cross multiply
    885.38x = 1,330.02 × 577.71
  4. Step 4: Simplify right side
    885.38x = 768,365.85
  5. Step 5: Solve for x
    x = 768,365.85/885.38
  6. Step 6: Final answer
    x = 867.84

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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.