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Finding the Fourth Proportional to 869.38, 1,301.76 and 596.00

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Solution

The fourth proportional to 869.38, 1,301.76 and 596.00 is: 892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.38 : 1,301.76 = 596.00 : x
  2. Step 2: Convert to fraction form
    869.38/1,301.76 = 596.00/x
  3. Step 3: Cross multiply
    869.38x = 1,301.76 × 596.00
  4. Step 4: Simplify right side
    869.38x = 775,852.21
  5. Step 5: Solve for x
    x = 775,852.21/869.38
  6. Step 6: Final answer
    x = 892.42

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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.