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Finding the Fourth Proportional to 1,166.57, 1,610.69 and 748.00

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Solution

The fourth proportional to 1,166.57, 1,610.69 and 748.00 is: 1,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.57 : 1,610.69 = 748.00 : x
  2. Step 2: Convert to fraction form
    1,166.57/1,610.69 = 748.00/x
  3. Step 3: Cross multiply
    1,166.57x = 1,610.69 × 748.00
  4. Step 4: Simplify right side
    1,166.57x = 1,204,794.39
  5. Step 5: Solve for x
    x = 1,204,794.39/1,166.57
  6. Step 6: Final answer
    x = 1,032.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.