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Finding the Fourth Proportional to 1,377.55, 1,900.46 and 787.76

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Solution

The fourth proportional to 1,377.55, 1,900.46 and 787.76 is: 1,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.55 : 1,900.46 = 787.76 : x
  2. Step 2: Convert to fraction form
    1,377.55/1,900.46 = 787.76/x
  3. Step 3: Cross multiply
    1,377.55x = 1,900.46 × 787.76
  4. Step 4: Simplify right side
    1,377.55x = 1,497,106.37
  5. Step 5: Solve for x
    x = 1,497,106.37/1,377.55
  6. Step 6: Final answer
    x = 1,086.79

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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.