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Finding the Fourth Proportional to 1,196.89, 1,651.89 and 724.84

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Solution

The fourth proportional to 1,196.89, 1,651.89 and 724.84 is: 1,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.89 : 1,651.89 = 724.84 : x
  2. Step 2: Convert to fraction form
    1,196.89/1,651.89 = 724.84/x
  3. Step 3: Cross multiply
    1,196.89x = 1,651.89 × 724.84
  4. Step 4: Simplify right side
    1,196.89x = 1,197,355.95
  5. Step 5: Solve for x
    x = 1,197,355.95/1,196.89
  6. Step 6: Final answer
    x = 1,000.39

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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.