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Finding the Fourth Proportional to 1,382.68, 2,073.66 and 652.06

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Solution

The fourth proportional to 1,382.68, 2,073.66 and 652.06 is: 977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.68 : 2,073.66 = 652.06 : x
  2. Step 2: Convert to fraction form
    1,382.68/2,073.66 = 652.06/x
  3. Step 3: Cross multiply
    1,382.68x = 2,073.66 × 652.06
  4. Step 4: Simplify right side
    1,382.68x = 1,352,150.74
  5. Step 5: Solve for x
    x = 1,352,150.74/1,382.68
  6. Step 6: Final answer
    x = 977.92

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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.