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Finding the Fourth Proportional to 821.68, 1,134.48 and 527.32

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Solution

The fourth proportional to 821.68, 1,134.48 and 527.32 is: 728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.68 : 1,134.48 = 527.32 : x
  2. Step 2: Convert to fraction form
    821.68/1,134.48 = 527.32/x
  3. Step 3: Cross multiply
    821.68x = 1,134.48 × 527.32
  4. Step 4: Simplify right side
    821.68x = 598,233.99
  5. Step 5: Solve for x
    x = 598,233.99/821.68
  6. Step 6: Final answer
    x = 728.06

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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.