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Finding the Fourth Proportional to 1,333.17, 1,997.02 and 748.15

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Solution

The fourth proportional to 1,333.17, 1,997.02 and 748.15 is: 1,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.17 : 1,997.02 = 748.15 : x
  2. Step 2: Convert to fraction form
    1,333.17/1,997.02 = 748.15/x
  3. Step 3: Cross multiply
    1,333.17x = 1,997.02 × 748.15
  4. Step 4: Simplify right side
    1,333.17x = 1,494,066.46
  5. Step 5: Solve for x
    x = 1,494,066.46/1,333.17
  6. Step 6: Final answer
    x = 1,120.69

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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.