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Finding the Fourth Proportional to 817.34, 1,232.42 and 749.30

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Solution

The fourth proportional to 817.34, 1,232.42 and 749.30 is: 1,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.34 : 1,232.42 = 749.30 : x
  2. Step 2: Convert to fraction form
    817.34/1,232.42 = 749.30/x
  3. Step 3: Cross multiply
    817.34x = 1,232.42 × 749.30
  4. Step 4: Simplify right side
    817.34x = 923,442.40
  5. Step 5: Solve for x
    x = 923,442.40/817.34
  6. Step 6: Final answer
    x = 1,129.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.