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Finding the Fourth Proportional to 871.98, 1,203.69 and 607.11

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Solution

The fourth proportional to 871.98, 1,203.69 and 607.11 is: 838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.98 : 1,203.69 = 607.11 : x
  2. Step 2: Convert to fraction form
    871.98/1,203.69 = 607.11/x
  3. Step 3: Cross multiply
    871.98x = 1,203.69 × 607.11
  4. Step 4: Simplify right side
    871.98x = 730,772.24
  5. Step 5: Solve for x
    x = 730,772.24/871.98
  6. Step 6: Final answer
    x = 838.06

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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.