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Finding the Fourth Proportional to 1,149.58, 1,723.83 and 419.23

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Solution

The fourth proportional to 1,149.58, 1,723.83 and 419.23 is: 628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.58 : 1,723.83 = 419.23 : x
  2. Step 2: Convert to fraction form
    1,149.58/1,723.83 = 419.23/x
  3. Step 3: Cross multiply
    1,149.58x = 1,723.83 × 419.23
  4. Step 4: Simplify right side
    1,149.58x = 722,681.25
  5. Step 5: Solve for x
    x = 722,681.25/1,149.58
  6. Step 6: Final answer
    x = 628.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.