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Finding the Fourth Proportional to 1,149.65, 1,725.20 and 1,051.73

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Solution

The fourth proportional to 1,149.65, 1,725.20 and 1,051.73 is: 1,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.65 : 1,725.20 = 1,051.73 : x
  2. Step 2: Convert to fraction form
    1,149.65/1,725.20 = 1,051.73/x
  3. Step 3: Cross multiply
    1,149.65x = 1,725.20 × 1,051.73
  4. Step 4: Simplify right side
    1,149.65x = 1,814,439.34
  5. Step 5: Solve for x
    x = 1,814,439.34/1,149.65
  6. Step 6: Final answer
    x = 1,578.25

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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.