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Finding the Fourth Proportional to 1,196.55, 1,650.88 and 724.70

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Solution

The fourth proportional to 1,196.55, 1,650.88 and 724.70 is: 999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.55 : 1,650.88 = 724.70 : x
  2. Step 2: Convert to fraction form
    1,196.55/1,650.88 = 724.70/x
  3. Step 3: Cross multiply
    1,196.55x = 1,650.88 × 724.70
  4. Step 4: Simplify right side
    1,196.55x = 1,196,388.48
  5. Step 5: Solve for x
    x = 1,196,388.48/1,196.55
  6. Step 6: Final answer
    x = 999.87

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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.