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Finding the Fourth Proportional to 1,105.92, 1,657.26 and 586.26

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Solution

The fourth proportional to 1,105.92, 1,657.26 and 586.26 is: 878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.92 : 1,657.26 = 586.26 : x
  2. Step 2: Convert to fraction form
    1,105.92/1,657.26 = 586.26/x
  3. Step 3: Cross multiply
    1,105.92x = 1,657.26 × 586.26
  4. Step 4: Simplify right side
    1,105.92x = 971,585.25
  5. Step 5: Solve for x
    x = 971,585.25/1,105.92
  6. Step 6: Final answer
    x = 878.53

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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.