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Finding the Fourth Proportional to 1,100.98, 1,651.29 and 407.98

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Solution

The fourth proportional to 1,100.98, 1,651.29 and 407.98 is: 611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.98 : 1,651.29 = 407.98 : x
  2. Step 2: Convert to fraction form
    1,100.98/1,651.29 = 407.98/x
  3. Step 3: Cross multiply
    1,100.98x = 1,651.29 × 407.98
  4. Step 4: Simplify right side
    1,100.98x = 673,693.29
  5. Step 5: Solve for x
    x = 673,693.29/1,100.98
  6. Step 6: Final answer
    x = 611.90

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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.