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Finding the Fourth Proportional to 1,377.32, 1,900.72 and 787.84

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Solution

The fourth proportional to 1,377.32, 1,900.72 and 787.84 is: 1,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.32 : 1,900.72 = 787.84 : x
  2. Step 2: Convert to fraction form
    1,377.32/1,900.72 = 787.84/x
  3. Step 3: Cross multiply
    1,377.32x = 1,900.72 × 787.84
  4. Step 4: Simplify right side
    1,377.32x = 1,497,463.24
  5. Step 5: Solve for x
    x = 1,497,463.24/1,377.32
  6. Step 6: Final answer
    x = 1,087.23

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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.