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Finding the Fourth Proportional to 881.55, 1,215.60 and 566.84

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Solution

The fourth proportional to 881.55, 1,215.60 and 566.84 is: 781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.55 : 1,215.60 = 566.84 : x
  2. Step 2: Convert to fraction form
    881.55/1,215.60 = 566.84/x
  3. Step 3: Cross multiply
    881.55x = 1,215.60 × 566.84
  4. Step 4: Simplify right side
    881.55x = 689,044.63
  5. Step 5: Solve for x
    x = 689,044.63/881.55
  6. Step 6: Final answer
    x = 781.63

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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.