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Finding the Fourth Proportional to 881.66, 1,216.68 and 527.74

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Solution

The fourth proportional to 881.66, 1,216.68 and 527.74 is: 728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.66 : 1,216.68 = 527.74 : x
  2. Step 2: Convert to fraction form
    881.66/1,216.68 = 527.74/x
  3. Step 3: Cross multiply
    881.66x = 1,216.68 × 527.74
  4. Step 4: Simplify right side
    881.66x = 642,090.70
  5. Step 5: Solve for x
    x = 642,090.70/881.66
  6. Step 6: Final answer
    x = 728.27

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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.