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Finding the Fourth Proportional to 1,110.27, 1,665.48 and 288.56

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Solution

The fourth proportional to 1,110.27, 1,665.48 and 288.56 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.27 : 1,665.48 = 288.56 : x
  2. Step 2: Convert to fraction form
    1,110.27/1,665.48 = 288.56/x
  3. Step 3: Cross multiply
    1,110.27x = 1,665.48 × 288.56
  4. Step 4: Simplify right side
    1,110.27x = 480,582.58
  5. Step 5: Solve for x
    x = 480,582.58/1,110.27
  6. Step 6: Final answer
    x = 432.85

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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.