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Finding the Fourth Proportional to 882.13, 1,216.49 and 527.99

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Solution

The fourth proportional to 882.13, 1,216.49 and 527.99 is: 728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.13 : 1,216.49 = 527.99 : x
  2. Step 2: Convert to fraction form
    882.13/1,216.49 = 527.99/x
  3. Step 3: Cross multiply
    882.13x = 1,216.49 × 527.99
  4. Step 4: Simplify right side
    882.13x = 642,288.47
  5. Step 5: Solve for x
    x = 642,288.47/882.13
  6. Step 6: Final answer
    x = 728.12

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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.