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Finding the Fourth Proportional to 1,377.66, 2,066.46 and 403.73

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Solution

The fourth proportional to 1,377.66, 2,066.46 and 403.73 is: 605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.66 : 2,066.46 = 403.73 : x
  2. Step 2: Convert to fraction form
    1,377.66/2,066.46 = 403.73/x
  3. Step 3: Cross multiply
    1,377.66x = 2,066.46 × 403.73
  4. Step 4: Simplify right side
    1,377.66x = 834,301.69
  5. Step 5: Solve for x
    x = 834,301.69/1,377.66
  6. Step 6: Final answer
    x = 605.59

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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.