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Finding the Fourth Proportional to 1,377.21, 1,900.54 and 747.73

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Solution

The fourth proportional to 1,377.21, 1,900.54 and 747.73 is: 1,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.21 : 1,900.54 = 747.73 : x
  2. Step 2: Convert to fraction form
    1,377.21/1,900.54 = 747.73/x
  3. Step 3: Cross multiply
    1,377.21x = 1,900.54 × 747.73
  4. Step 4: Simplify right side
    1,377.21x = 1,421,101.53
  5. Step 5: Solve for x
    x = 1,421,101.53/1,377.21
  6. Step 6: Final answer
    x = 1,031.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.