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Finding the Fourth Proportional to 1,377.41, 2,066.18 and 555.80

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Solution

The fourth proportional to 1,377.41, 2,066.18 and 555.80 is: 833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.41 : 2,066.18 = 555.80 : x
  2. Step 2: Convert to fraction form
    1,377.41/2,066.18 = 555.80/x
  3. Step 3: Cross multiply
    1,377.41x = 2,066.18 × 555.80
  4. Step 4: Simplify right side
    1,377.41x = 1,148,369.73
  5. Step 5: Solve for x
    x = 1,148,369.73/1,377.41
  6. Step 6: Final answer
    x = 833.72

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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.