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Finding the Fourth Proportional to 962.12, 1,327.41 and 607.95

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Solution

The fourth proportional to 962.12, 1,327.41 and 607.95 is: 838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.12 : 1,327.41 = 607.95 : x
  2. Step 2: Convert to fraction form
    962.12/1,327.41 = 607.95/x
  3. Step 3: Cross multiply
    962.12x = 1,327.41 × 607.95
  4. Step 4: Simplify right side
    962.12x = 806,998.91
  5. Step 5: Solve for x
    x = 806,998.91/962.12
  6. Step 6: Final answer
    x = 838.77

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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.