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Finding the Fourth Proportional to 881.20, 1,216.14 and 508.30

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Solution

The fourth proportional to 881.20, 1,216.14 and 508.30 is: 701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.20 : 1,216.14 = 508.30 : x
  2. Step 2: Convert to fraction form
    881.20/1,216.14 = 508.30/x
  3. Step 3: Cross multiply
    881.20x = 1,216.14 × 508.30
  4. Step 4: Simplify right side
    881.20x = 618,163.96
  5. Step 5: Solve for x
    x = 618,163.96/881.20
  6. Step 6: Final answer
    x = 701.50

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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.