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Finding the Fourth Proportional to 1,001.67, 1,382.22 and 581.94

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Solution

The fourth proportional to 1,001.67, 1,382.22 and 581.94 is: 803.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.67 : 1,382.22 = 581.94 : x
  2. Step 2: Convert to fraction form
    1,001.67/1,382.22 = 581.94/x
  3. Step 3: Cross multiply
    1,001.67x = 1,382.22 × 581.94
  4. Step 4: Simplify right side
    1,001.67x = 804,369.11
  5. Step 5: Solve for x
    x = 804,369.11/1,001.67
  6. Step 6: Final answer
    x = 803.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.