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Finding the Fourth Proportional to 862, 1,190.68 and 732.40

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Solution

The fourth proportional to 862, 1,190.68 and 732.40 is: 1,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    862 : 1,190.68 = 732.40 : x
  2. Step 2: Convert to fraction form
    862/1,190.68 = 732.40/x
  3. Step 3: Cross multiply
    862x = 1,190.68 × 732.40
  4. Step 4: Simplify right side
    862x = 872,054.03
  5. Step 5: Solve for x
    x = 872,054.03/862
  6. Step 6: Final answer
    x = 1,011.66

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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.