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Finding the Fourth Proportional to 882, 1,217.16 and 514

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Solution

The fourth proportional to 882, 1,217.16 and 514 is: 709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    882 : 1,217.16 = 514 : x
  2. Step 2: Convert to fraction form
    882/1,217.16 = 514/x
  3. Step 3: Cross multiply
    882x = 1,217.16 × 514
  4. Step 4: Simplify right side
    882x = 625,620.24
  5. Step 5: Solve for x
    x = 625,620.24/882
  6. Step 6: Final answer
    x = 709.32

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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.