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Finding the Fourth Proportional to 1,398.58, 2,096.24 and 749.78

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Solution

The fourth proportional to 1,398.58, 2,096.24 and 749.78 is: 1,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.58 : 2,096.24 = 749.78 : x
  2. Step 2: Convert to fraction form
    1,398.58/2,096.24 = 749.78/x
  3. Step 3: Cross multiply
    1,398.58x = 2,096.24 × 749.78
  4. Step 4: Simplify right side
    1,398.58x = 1,571,718.83
  5. Step 5: Solve for x
    x = 1,571,718.83/1,398.58
  6. Step 6: Final answer
    x = 1,123.80

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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.