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Finding the Fourth Proportional to 1,150.83, 1,726.41 and 420.23

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Solution

The fourth proportional to 1,150.83, 1,726.41 and 420.23 is: 630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.83 : 1,726.41 = 420.23 : x
  2. Step 2: Convert to fraction form
    1,150.83/1,726.41 = 420.23/x
  3. Step 3: Cross multiply
    1,150.83x = 1,726.41 × 420.23
  4. Step 4: Simplify right side
    1,150.83x = 725,489.27
  5. Step 5: Solve for x
    x = 725,489.27/1,150.83
  6. Step 6: Final answer
    x = 630.41

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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.