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Finding the Fourth Proportional to 1,104.71, 1,656.87 and 411.69

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Solution

The fourth proportional to 1,104.71, 1,656.87 and 411.69 is: 617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.71 : 1,656.87 = 411.69 : x
  2. Step 2: Convert to fraction form
    1,104.71/1,656.87 = 411.69/x
  3. Step 3: Cross multiply
    1,104.71x = 1,656.87 × 411.69
  4. Step 4: Simplify right side
    1,104.71x = 682,116.81
  5. Step 5: Solve for x
    x = 682,116.81/1,104.71
  6. Step 6: Final answer
    x = 617.47

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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.