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Finding the Fourth Proportional to 881.78, 1,216.46 and 587.13

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Solution

The fourth proportional to 881.78, 1,216.46 and 587.13 is: 809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.78 : 1,216.46 = 587.13 : x
  2. Step 2: Convert to fraction form
    881.78/1,216.46 = 587.13/x
  3. Step 3: Cross multiply
    881.78x = 1,216.46 × 587.13
  4. Step 4: Simplify right side
    881.78x = 714,217.22
  5. Step 5: Solve for x
    x = 714,217.22/881.78
  6. Step 6: Final answer
    x = 809.98

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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.