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Finding the Fourth Proportional to 881.49, 1,216.30 and 508.49

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Solution

The fourth proportional to 881.49, 1,216.30 and 508.49 is: 701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.49 : 1,216.30 = 508.49 : x
  2. Step 2: Convert to fraction form
    881.49/1,216.30 = 508.49/x
  3. Step 3: Cross multiply
    881.49x = 1,216.30 × 508.49
  4. Step 4: Simplify right side
    881.49x = 618,467.76
  5. Step 5: Solve for x
    x = 618,467.76/881.49
  6. Step 6: Final answer
    x = 701.62

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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.