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Finding the Fourth Proportional to 1,104.80, 1,657.96 and 412.02

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Solution

The fourth proportional to 1,104.80, 1,657.96 and 412.02 is: 618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.80 : 1,657.96 = 412.02 : x
  2. Step 2: Convert to fraction form
    1,104.80/1,657.96 = 412.02/x
  3. Step 3: Cross multiply
    1,104.80x = 1,657.96 × 412.02
  4. Step 4: Simplify right side
    1,104.80x = 683,111.65
  5. Step 5: Solve for x
    x = 683,111.65/1,104.80
  6. Step 6: Final answer
    x = 618.31

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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.