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Finding the Fourth Proportional to 934.03, 1,398.57 and 787.42

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Solution

The fourth proportional to 934.03, 1,398.57 and 787.42 is: 1,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.03 : 1,398.57 = 787.42 : x
  2. Step 2: Convert to fraction form
    934.03/1,398.57 = 787.42/x
  3. Step 3: Cross multiply
    934.03x = 1,398.57 × 787.42
  4. Step 4: Simplify right side
    934.03x = 1,101,260.78
  5. Step 5: Solve for x
    x = 1,101,260.78/934.03
  6. Step 6: Final answer
    x = 1,179.04

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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.