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Finding the Fourth Proportional to 1,104.84, 1,656.78 and 411.39

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Solution

The fourth proportional to 1,104.84, 1,656.78 and 411.39 is: 616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.84 : 1,656.78 = 411.39 : x
  2. Step 2: Convert to fraction form
    1,104.84/1,656.78 = 411.39/x
  3. Step 3: Cross multiply
    1,104.84x = 1,656.78 × 411.39
  4. Step 4: Simplify right side
    1,104.84x = 681,582.72
  5. Step 5: Solve for x
    x = 681,582.72/1,104.84
  6. Step 6: Final answer
    x = 616.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.