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Finding the Fourth Proportional to 1,196.44, 1,651.08 and 672.47

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Solution

The fourth proportional to 1,196.44, 1,651.08 and 672.47 is: 928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.44 : 1,651.08 = 672.47 : x
  2. Step 2: Convert to fraction form
    1,196.44/1,651.08 = 672.47/x
  3. Step 3: Cross multiply
    1,196.44x = 1,651.08 × 672.47
  4. Step 4: Simplify right side
    1,196.44x = 1,110,302.23
  5. Step 5: Solve for x
    x = 1,110,302.23/1,196.44
  6. Step 6: Final answer
    x = 928.01

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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.