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Finding the Fourth Proportional to 1,096.74, 1,512.93 and 742.68

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Solution

The fourth proportional to 1,096.74, 1,512.93 and 742.68 is: 1,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.74 : 1,512.93 = 742.68 : x
  2. Step 2: Convert to fraction form
    1,096.74/1,512.93 = 742.68/x
  3. Step 3: Cross multiply
    1,096.74x = 1,512.93 × 742.68
  4. Step 4: Simplify right side
    1,096.74x = 1,123,625.64
  5. Step 5: Solve for x
    x = 1,123,625.64/1,096.74
  6. Step 6: Final answer
    x = 1,024.51

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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.