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Finding the Fourth Proportional to 847.20, 1,167.80 and 672.24

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Solution

The fourth proportional to 847.20, 1,167.80 and 672.24 is: 926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.20 : 1,167.80 = 672.24 : x
  2. Step 2: Convert to fraction form
    847.20/1,167.80 = 672.24/x
  3. Step 3: Cross multiply
    847.20x = 1,167.80 × 672.24
  4. Step 4: Simplify right side
    847.20x = 785,041.87
  5. Step 5: Solve for x
    x = 785,041.87/847.20
  6. Step 6: Final answer
    x = 926.63

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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.