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Finding the Fourth Proportional to 1,196.62, 1,651.51 and 724.55

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Solution

The fourth proportional to 1,196.62, 1,651.51 and 724.55 is: 999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.62 : 1,651.51 = 724.55 : x
  2. Step 2: Convert to fraction form
    1,196.62/1,651.51 = 724.55/x
  3. Step 3: Cross multiply
    1,196.62x = 1,651.51 × 724.55
  4. Step 4: Simplify right side
    1,196.62x = 1,196,596.26
  5. Step 5: Solve for x
    x = 1,196,596.26/1,196.62
  6. Step 6: Final answer
    x = 999.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.