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Finding the Fourth Proportional to 1,453.59, 2,179.34 and 749.07

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Solution

The fourth proportional to 1,453.59, 2,179.34 and 749.07 is: 1,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.59 : 2,179.34 = 749.07 : x
  2. Step 2: Convert to fraction form
    1,453.59/2,179.34 = 749.07/x
  3. Step 3: Cross multiply
    1,453.59x = 2,179.34 × 749.07
  4. Step 4: Simplify right side
    1,453.59x = 1,632,474.47
  5. Step 5: Solve for x
    x = 1,632,474.47/1,453.59
  6. Step 6: Final answer
    x = 1,123.06

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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.