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Finding the Fourth Proportional to 871.04, 1,201.76 and 591.28

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Solution

The fourth proportional to 871.04, 1,201.76 and 591.28 is: 815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.04 : 1,201.76 = 591.28 : x
  2. Step 2: Convert to fraction form
    871.04/1,201.76 = 591.28/x
  3. Step 3: Cross multiply
    871.04x = 1,201.76 × 591.28
  4. Step 4: Simplify right side
    871.04x = 710,576.65
  5. Step 5: Solve for x
    x = 710,576.65/871.04
  6. Step 6: Final answer
    x = 815.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.