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Finding the Fourth Proportional to 1,001.82, 1,382.51 and 582.19

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Solution

The fourth proportional to 1,001.82, 1,382.51 and 582.19 is: 803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.82 : 1,382.51 = 582.19 : x
  2. Step 2: Convert to fraction form
    1,001.82/1,382.51 = 582.19/x
  3. Step 3: Cross multiply
    1,001.82x = 1,382.51 × 582.19
  4. Step 4: Simplify right side
    1,001.82x = 804,883.50
  5. Step 5: Solve for x
    x = 804,883.50/1,001.82
  6. Step 6: Final answer
    x = 803.42

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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.