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Finding the Fourth Proportional to 893.28, 1,342 and 787.36

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Solution

The fourth proportional to 893.28, 1,342 and 787.36 is: 1,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.28 : 1,342 = 787.36 : x
  2. Step 2: Convert to fraction form
    893.28/1,342 = 787.36/x
  3. Step 3: Cross multiply
    893.28x = 1,342 × 787.36
  4. Step 4: Simplify right side
    893.28x = 1,056,637.12
  5. Step 5: Solve for x
    x = 1,056,637.12/893.28
  6. Step 6: Final answer
    x = 1,182.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.