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Finding the Fourth Proportional to 881.87, 1,320.81 and 506.14

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Solution

The fourth proportional to 881.87, 1,320.81 and 506.14 is: 758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.87 : 1,320.81 = 506.14 : x
  2. Step 2: Convert to fraction form
    881.87/1,320.81 = 506.14/x
  3. Step 3: Cross multiply
    881.87x = 1,320.81 × 506.14
  4. Step 4: Simplify right side
    881.87x = 668,509.57
  5. Step 5: Solve for x
    x = 668,509.57/881.87
  6. Step 6: Final answer
    x = 758.06

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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.