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Finding the Fourth Proportional to 882.68, 1,218.04 and 509.41

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Solution

The fourth proportional to 882.68, 1,218.04 and 509.41 is: 702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.68 : 1,218.04 = 509.41 : x
  2. Step 2: Convert to fraction form
    882.68/1,218.04 = 509.41/x
  3. Step 3: Cross multiply
    882.68x = 1,218.04 × 509.41
  4. Step 4: Simplify right side
    882.68x = 620,485.43
  5. Step 5: Solve for x
    x = 620,485.43/882.68
  6. Step 6: Final answer
    x = 702.95

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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.