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Finding the Fourth Proportional to 1,001.94, 1,382.70 and 582.36

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Solution

The fourth proportional to 1,001.94, 1,382.70 and 582.36 is: 803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.94 : 1,382.70 = 582.36 : x
  2. Step 2: Convert to fraction form
    1,001.94/1,382.70 = 582.36/x
  3. Step 3: Cross multiply
    1,001.94x = 1,382.70 × 582.36
  4. Step 4: Simplify right side
    1,001.94x = 805,229.17
  5. Step 5: Solve for x
    x = 805,229.17/1,001.94
  6. Step 6: Final answer
    x = 803.67

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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.