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Finding the Fourth Proportional to 881.57, 1,216.91 and 508.87

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Solution

The fourth proportional to 881.57, 1,216.91 and 508.87 is: 702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.57 : 1,216.91 = 508.87 : x
  2. Step 2: Convert to fraction form
    881.57/1,216.91 = 508.87/x
  3. Step 3: Cross multiply
    881.57x = 1,216.91 × 508.87
  4. Step 4: Simplify right side
    881.57x = 619,248.99
  5. Step 5: Solve for x
    x = 619,248.99/881.57
  6. Step 6: Final answer
    x = 702.44

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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.