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Finding the Fourth Proportional to 882.13, 1,217.40 and 509.14

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Solution

The fourth proportional to 882.13, 1,217.40 and 509.14 is: 702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.13 : 1,217.40 = 509.14 : x
  2. Step 2: Convert to fraction form
    882.13/1,217.40 = 509.14/x
  3. Step 3: Cross multiply
    882.13x = 1,217.40 × 509.14
  4. Step 4: Simplify right side
    882.13x = 619,827.04
  5. Step 5: Solve for x
    x = 619,827.04/882.13
  6. Step 6: Final answer
    x = 702.65

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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.