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Finding the Fourth Proportional to 1,104.04, 1,656.23 and 411.69

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Solution

The fourth proportional to 1,104.04, 1,656.23 and 411.69 is: 617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.04 : 1,656.23 = 411.69 : x
  2. Step 2: Convert to fraction form
    1,104.04/1,656.23 = 411.69/x
  3. Step 3: Cross multiply
    1,104.04x = 1,656.23 × 411.69
  4. Step 4: Simplify right side
    1,104.04x = 681,853.33
  5. Step 5: Solve for x
    x = 681,853.33/1,104.04
  6. Step 6: Final answer
    x = 617.60

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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.