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Finding the Fourth Proportional to 871.32, 1,201.98 and 591.75

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Solution

The fourth proportional to 871.32, 1,201.98 and 591.75 is: 816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.32 : 1,201.98 = 591.75 : x
  2. Step 2: Convert to fraction form
    871.32/1,201.98 = 591.75/x
  3. Step 3: Cross multiply
    871.32x = 1,201.98 × 591.75
  4. Step 4: Simplify right side
    871.32x = 711,271.67
  5. Step 5: Solve for x
    x = 711,271.67/871.32
  6. Step 6: Final answer
    x = 816.32

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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.