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Finding the Fourth Proportional to 1,382.84, 2,074.40 and 652.22

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Solution

The fourth proportional to 1,382.84, 2,074.40 and 652.22 is: 978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.84 : 2,074.40 = 652.22 : x
  2. Step 2: Convert to fraction form
    1,382.84/2,074.40 = 652.22/x
  3. Step 3: Cross multiply
    1,382.84x = 2,074.40 × 652.22
  4. Step 4: Simplify right side
    1,382.84x = 1,352,965.17
  5. Step 5: Solve for x
    x = 1,352,965.17/1,382.84
  6. Step 6: Final answer
    x = 978.40

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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.