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Finding the Fourth Proportional to 1,377.42, 2,066.67 and 511.80

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Solution

The fourth proportional to 1,377.42, 2,066.67 and 511.80 is: 767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.42 : 2,066.67 = 511.80 : x
  2. Step 2: Convert to fraction form
    1,377.42/2,066.67 = 511.80/x
  3. Step 3: Cross multiply
    1,377.42x = 2,066.67 × 511.80
  4. Step 4: Simplify right side
    1,377.42x = 1,057,721.71
  5. Step 5: Solve for x
    x = 1,057,721.71/1,377.42
  6. Step 6: Final answer
    x = 767.90

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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.