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Finding the Fourth Proportional to 1,150.98, 1,726.74 and 420.57

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Solution

The fourth proportional to 1,150.98, 1,726.74 and 420.57 is: 630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.98 : 1,726.74 = 420.57 : x
  2. Step 2: Convert to fraction form
    1,150.98/1,726.74 = 420.57/x
  3. Step 3: Cross multiply
    1,150.98x = 1,726.74 × 420.57
  4. Step 4: Simplify right side
    1,150.98x = 726,215.04
  5. Step 5: Solve for x
    x = 726,215.04/1,150.98
  6. Step 6: Final answer
    x = 630.95

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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.