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Finding the Fourth Proportional to 786.96, 1,181.43 and 672.15

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Solution

The fourth proportional to 786.96, 1,181.43 and 672.15 is: 1,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.96 : 1,181.43 = 672.15 : x
  2. Step 2: Convert to fraction form
    786.96/1,181.43 = 672.15/x
  3. Step 3: Cross multiply
    786.96x = 1,181.43 × 672.15
  4. Step 4: Simplify right side
    786.96x = 794,098.17
  5. Step 5: Solve for x
    x = 794,098.17/786.96
  6. Step 6: Final answer
    x = 1,009.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.