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Finding the Fourth Proportional to 1,377.42, 2,066.52 and 453.06

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Solution

The fourth proportional to 1,377.42, 2,066.52 and 453.06 is: 679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.42 : 2,066.52 = 453.06 : x
  2. Step 2: Convert to fraction form
    1,377.42/2,066.52 = 453.06/x
  3. Step 3: Cross multiply
    1,377.42x = 2,066.52 × 453.06
  4. Step 4: Simplify right side
    1,377.42x = 936,257.55
  5. Step 5: Solve for x
    x = 936,257.55/1,377.42
  6. Step 6: Final answer
    x = 679.72

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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.