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Finding the Fourth Proportional to 1,196.63, 1,651.47 and 724.52

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Solution

The fourth proportional to 1,196.63, 1,651.47 and 724.52 is: 999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.63 : 1,651.47 = 724.52 : x
  2. Step 2: Convert to fraction form
    1,196.63/1,651.47 = 724.52/x
  3. Step 3: Cross multiply
    1,196.63x = 1,651.47 × 724.52
  4. Step 4: Simplify right side
    1,196.63x = 1,196,514.79
  5. Step 5: Solve for x
    x = 1,196,514.79/1,196.63
  6. Step 6: Final answer
    x = 999.90

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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.