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Finding the Fourth Proportional to 1,376.73, 1,899.72 and 787.32

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Solution

The fourth proportional to 1,376.73, 1,899.72 and 787.32 is: 1,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.73 : 1,899.72 = 787.32 : x
  2. Step 2: Convert to fraction form
    1,376.73/1,899.72 = 787.32/x
  3. Step 3: Cross multiply
    1,376.73x = 1,899.72 × 787.32
  4. Step 4: Simplify right side
    1,376.73x = 1,495,687.55
  5. Step 5: Solve for x
    x = 1,495,687.55/1,376.73
  6. Step 6: Final answer
    x = 1,086.41

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Why These Related Problems?

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