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Finding the Fourth Proportional to 882.27, 1,217.59 and 509.32

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Solution

The fourth proportional to 882.27, 1,217.59 and 509.32 is: 702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.27 : 1,217.59 = 509.32 : x
  2. Step 2: Convert to fraction form
    882.27/1,217.59 = 509.32/x
  3. Step 3: Cross multiply
    882.27x = 1,217.59 × 509.32
  4. Step 4: Simplify right side
    882.27x = 620,144.21
  5. Step 5: Solve for x
    x = 620,144.21/882.27
  6. Step 6: Final answer
    x = 702.89

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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.