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Finding the Fourth Proportional to 882.30, 1,217.54 and 509.28

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Solution

The fourth proportional to 882.30, 1,217.54 and 509.28 is: 702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.30 : 1,217.54 = 509.28 : x
  2. Step 2: Convert to fraction form
    882.30/1,217.54 = 509.28/x
  3. Step 3: Cross multiply
    882.30x = 1,217.54 × 509.28
  4. Step 4: Simplify right side
    882.30x = 620,068.77
  5. Step 5: Solve for x
    x = 620,068.77/882.30
  6. Step 6: Final answer
    x = 702.79

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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.