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Finding the Fourth Proportional to 969.98, 1,339.52 and 616.56

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Solution

The fourth proportional to 969.98, 1,339.52 and 616.56 is: 851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.98 : 1,339.52 = 616.56 : x
  2. Step 2: Convert to fraction form
    969.98/1,339.52 = 616.56/x
  3. Step 3: Cross multiply
    969.98x = 1,339.52 × 616.56
  4. Step 4: Simplify right side
    969.98x = 825,897.35
  5. Step 5: Solve for x
    x = 825,897.35/969.98
  6. Step 6: Final answer
    x = 851.46

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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.