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Finding the Fourth Proportional to 1,103.74, 1,652.67 and 884.82

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Solution

The fourth proportional to 1,103.74, 1,652.67 and 884.82 is: 1,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.74 : 1,652.67 = 884.82 : x
  2. Step 2: Convert to fraction form
    1,103.74/1,652.67 = 884.82/x
  3. Step 3: Cross multiply
    1,103.74x = 1,652.67 × 884.82
  4. Step 4: Simplify right side
    1,103.74x = 1,462,312.37
  5. Step 5: Solve for x
    x = 1,462,312.37/1,103.74
  6. Step 6: Final answer
    x = 1,324.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.