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Finding the Fourth Proportional to 1,110.38, 1,665.55 and 288.65

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Solution

The fourth proportional to 1,110.38, 1,665.55 and 288.65 is: 432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.38 : 1,665.55 = 288.65 : x
  2. Step 2: Convert to fraction form
    1,110.38/1,665.55 = 288.65/x
  3. Step 3: Cross multiply
    1,110.38x = 1,665.55 × 288.65
  4. Step 4: Simplify right side
    1,110.38x = 480,761.01
  5. Step 5: Solve for x
    x = 480,761.01/1,110.38
  6. Step 6: Final answer
    x = 432.97

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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.