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Finding the Fourth Proportional to 1,104.39, 1,656.10 and 411.10

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Solution

The fourth proportional to 1,104.39, 1,656.10 and 411.10 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.39 : 1,656.10 = 411.10 : x
  2. Step 2: Convert to fraction form
    1,104.39/1,656.10 = 411.10/x
  3. Step 3: Cross multiply
    1,104.39x = 1,656.10 × 411.10
  4. Step 4: Simplify right side
    1,104.39x = 680,822.71
  5. Step 5: Solve for x
    x = 680,822.71/1,104.39
  6. Step 6: Final answer
    x = 616.47

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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.