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Finding the Fourth Proportional to 881.87, 1,320.16 and 534.15

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Solution

The fourth proportional to 881.87, 1,320.16 and 534.15 is: 799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.87 : 1,320.16 = 534.15 : x
  2. Step 2: Convert to fraction form
    881.87/1,320.16 = 534.15/x
  3. Step 3: Cross multiply
    881.87x = 1,320.16 × 534.15
  4. Step 4: Simplify right side
    881.87x = 705,163.46
  5. Step 5: Solve for x
    x = 705,163.46/881.87
  6. Step 6: Final answer
    x = 799.62

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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.