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Finding the Fourth Proportional to 881.99, 1,217.23 and 509.09

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Solution

The fourth proportional to 881.99, 1,217.23 and 509.09 is: 702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.99 : 1,217.23 = 509.09 : x
  2. Step 2: Convert to fraction form
    881.99/1,217.23 = 509.09/x
  3. Step 3: Cross multiply
    881.99x = 1,217.23 × 509.09
  4. Step 4: Simplify right side
    881.99x = 619,672.26
  5. Step 5: Solve for x
    x = 619,672.26/881.99
  6. Step 6: Final answer
    x = 702.59

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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.