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Finding the Fourth Proportional to 881.37, 1,216.14 and 508.40

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Solution

The fourth proportional to 881.37, 1,216.14 and 508.40 is: 701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.37 : 1,216.14 = 508.40 : x
  2. Step 2: Convert to fraction form
    881.37/1,216.14 = 508.40/x
  3. Step 3: Cross multiply
    881.37x = 1,216.14 × 508.40
  4. Step 4: Simplify right side
    881.37x = 618,279.50
  5. Step 5: Solve for x
    x = 618,279.50/881.37
  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.