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Finding the Fourth Proportional to 1,452.12, 2,176.50 and 681

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Solution

The fourth proportional to 1,452.12, 2,176.50 and 681 is: 1,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.12 : 2,176.50 = 681 : x
  2. Step 2: Convert to fraction form
    1,452.12/2,176.50 = 681/x
  3. Step 3: Cross multiply
    1,452.12x = 2,176.50 × 681
  4. Step 4: Simplify right side
    1,452.12x = 1,482,196.50
  5. Step 5: Solve for x
    x = 1,482,196.50/1,452.12
  6. Step 6: Final answer
    x = 1,020.71

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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.