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Finding the Fourth Proportional to 1,377.29, 1,900.64 and 787.82

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Solution

The fourth proportional to 1,377.29, 1,900.64 and 787.82 is: 1,087.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.29 : 1,900.64 = 787.82 : x
  2. Step 2: Convert to fraction form
    1,377.29/1,900.64 = 787.82/x
  3. Step 3: Cross multiply
    1,377.29x = 1,900.64 × 787.82
  4. Step 4: Simplify right side
    1,377.29x = 1,497,354.67
  5. Step 5: Solve for x
    x = 1,497,354.67/1,377.29
  6. Step 6: Final answer
    x = 1,087.17

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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.