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Finding the Fourth Proportional to 1,018.18, 1,524.89 and 743.59

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Solution

The fourth proportional to 1,018.18, 1,524.89 and 743.59 is: 1,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.18 : 1,524.89 = 743.59 : x
  2. Step 2: Convert to fraction form
    1,018.18/1,524.89 = 743.59/x
  3. Step 3: Cross multiply
    1,018.18x = 1,524.89 × 743.59
  4. Step 4: Simplify right side
    1,018.18x = 1,133,891.00
  5. Step 5: Solve for x
    x = 1,133,891.00/1,018.18
  6. Step 6: Final answer
    x = 1,113.65

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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.