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Finding the Fourth Proportional to 1,002.67, 1,382.95 and 723.83

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Solution

The fourth proportional to 1,002.67, 1,382.95 and 723.83 is: 998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.67 : 1,382.95 = 723.83 : x
  2. Step 2: Convert to fraction form
    1,002.67/1,382.95 = 723.83/x
  3. Step 3: Cross multiply
    1,002.67x = 1,382.95 × 723.83
  4. Step 4: Simplify right side
    1,002.67x = 1,001,011.97
  5. Step 5: Solve for x
    x = 1,001,011.97/1,002.67
  6. Step 6: Final answer
    x = 998.35

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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.