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Finding the Fourth Proportional to 1,105.19, 1,656.77 and 411.69

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Solution

The fourth proportional to 1,105.19, 1,656.77 and 411.69 is: 617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.19 : 1,656.77 = 411.69 : x
  2. Step 2: Convert to fraction form
    1,105.19/1,656.77 = 411.69/x
  3. Step 3: Cross multiply
    1,105.19x = 1,656.77 × 411.69
  4. Step 4: Simplify right side
    1,105.19x = 682,073.58
  5. Step 5: Solve for x
    x = 682,073.58/1,105.19
  6. Step 6: Final answer
    x = 617.16

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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.