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Finding the Fourth Proportional to 1,382.39, 2,074.26 and 652.01

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Solution

The fourth proportional to 1,382.39, 2,074.26 and 652.01 is: 978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.39 : 2,074.26 = 652.01 : x
  2. Step 2: Convert to fraction form
    1,382.39/2,074.26 = 652.01/x
  3. Step 3: Cross multiply
    1,382.39x = 2,074.26 × 652.01
  4. Step 4: Simplify right side
    1,382.39x = 1,352,438.26
  5. Step 5: Solve for x
    x = 1,352,438.26/1,382.39
  6. Step 6: Final answer
    x = 978.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.