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Finding the Fourth Proportional to 1,001.73, 1,382.15 and 581.83

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Solution

The fourth proportional to 1,001.73, 1,382.15 and 581.83 is: 802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.73 : 1,382.15 = 581.83 : x
  2. Step 2: Convert to fraction form
    1,001.73/1,382.15 = 581.83/x
  3. Step 3: Cross multiply
    1,001.73x = 1,382.15 × 581.83
  4. Step 4: Simplify right side
    1,001.73x = 804,176.33
  5. Step 5: Solve for x
    x = 804,176.33/1,001.73
  6. Step 6: Final answer
    x = 802.79

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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.