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Finding the Fourth Proportional to 1,141.16, 1,709.85 and 1,024.94

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Solution

The fourth proportional to 1,141.16, 1,709.85 and 1,024.94 is: 1,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.16 : 1,709.85 = 1,024.94 : x
  2. Step 2: Convert to fraction form
    1,141.16/1,709.85 = 1,024.94/x
  3. Step 3: Cross multiply
    1,141.16x = 1,709.85 × 1,024.94
  4. Step 4: Simplify right side
    1,141.16x = 1,752,493.66
  5. Step 5: Solve for x
    x = 1,752,493.66/1,141.16
  6. Step 6: Final answer
    x = 1,535.71

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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.