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Finding the Fourth Proportional to 748.32, 1,122.38 and 315.38

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Solution

The fourth proportional to 748.32, 1,122.38 and 315.38 is: 473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.32 : 1,122.38 = 315.38 : x
  2. Step 2: Convert to fraction form
    748.32/1,122.38 = 315.38/x
  3. Step 3: Cross multiply
    748.32x = 1,122.38 × 315.38
  4. Step 4: Simplify right side
    748.32x = 353,969.02
  5. Step 5: Solve for x
    x = 353,969.02/748.32
  6. Step 6: Final answer
    x = 473.02

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