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Finding the Fourth Proportional to 1,104.56, 1,656.48 and 410.96

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Solution

The fourth proportional to 1,104.56, 1,656.48 and 410.96 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.56 : 1,656.48 = 410.96 : x
  2. Step 2: Convert to fraction form
    1,104.56/1,656.48 = 410.96/x
  3. Step 3: Cross multiply
    1,104.56x = 1,656.48 × 410.96
  4. Step 4: Simplify right side
    1,104.56x = 680,747.02
  5. Step 5: Solve for x
    x = 680,747.02/1,104.56
  6. Step 6: Final answer
    x = 616.31

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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.