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Finding the Fourth Proportional to 1,105.80, 1,658.34 and 585.51

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Solution

The fourth proportional to 1,105.80, 1,658.34 and 585.51 is: 878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.80 : 1,658.34 = 585.51 : x
  2. Step 2: Convert to fraction form
    1,105.80/1,658.34 = 585.51/x
  3. Step 3: Cross multiply
    1,105.80x = 1,658.34 × 585.51
  4. Step 4: Simplify right side
    1,105.80x = 970,974.65
  5. Step 5: Solve for x
    x = 970,974.65/1,105.80
  6. Step 6: Final answer
    x = 878.07

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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.