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Finding the Fourth Proportional to 881.30, 1,216.34 and 508.49

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Solution

The fourth proportional to 881.30, 1,216.34 and 508.49 is: 701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.30 : 1,216.34 = 508.49 : x
  2. Step 2: Convert to fraction form
    881.30/1,216.34 = 508.49/x
  3. Step 3: Cross multiply
    881.30x = 1,216.34 × 508.49
  4. Step 4: Simplify right side
    881.30x = 618,497.22
  5. Step 5: Solve for x
    x = 618,497.22/881.30
  6. Step 6: Final answer
    x = 701.80

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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.