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Finding the Fourth Proportional to 881.46, 1,215.96 and 566.64

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Solution

The fourth proportional to 881.46, 1,215.96 and 566.64 is: 781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.46 : 1,215.96 = 566.64 : x
  2. Step 2: Convert to fraction form
    881.46/1,215.96 = 566.64/x
  3. Step 3: Cross multiply
    881.46x = 1,215.96 × 566.64
  4. Step 4: Simplify right side
    881.46x = 689,011.57
  5. Step 5: Solve for x
    x = 689,011.57/881.46
  6. Step 6: Final answer
    x = 781.67

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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.