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Finding the Fourth Proportional to 1,109.19, 1,529.37 and 754.73

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Solution

The fourth proportional to 1,109.19, 1,529.37 and 754.73 is: 1,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.19 : 1,529.37 = 754.73 : x
  2. Step 2: Convert to fraction form
    1,109.19/1,529.37 = 754.73/x
  3. Step 3: Cross multiply
    1,109.19x = 1,529.37 × 754.73
  4. Step 4: Simplify right side
    1,109.19x = 1,154,253.77
  5. Step 5: Solve for x
    x = 1,154,253.77/1,109.19
  6. Step 6: Final answer
    x = 1,040.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.