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Finding the Fourth Proportional to 881.76, 1,216.28 and 587.06

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Solution

The fourth proportional to 881.76, 1,216.28 and 587.06 is: 809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.76 : 1,216.28 = 587.06 : x
  2. Step 2: Convert to fraction form
    881.76/1,216.28 = 587.06/x
  3. Step 3: Cross multiply
    881.76x = 1,216.28 × 587.06
  4. Step 4: Simplify right side
    881.76x = 714,029.34
  5. Step 5: Solve for x
    x = 714,029.34/881.76
  6. Step 6: Final answer
    x = 809.78

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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.