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Finding the Fourth Proportional to 1,158.96, 1,738.58 and 726.15

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Solution

The fourth proportional to 1,158.96, 1,738.58 and 726.15 is: 1,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.96 : 1,738.58 = 726.15 : x
  2. Step 2: Convert to fraction form
    1,158.96/1,738.58 = 726.15/x
  3. Step 3: Cross multiply
    1,158.96x = 1,738.58 × 726.15
  4. Step 4: Simplify right side
    1,158.96x = 1,262,469.87
  5. Step 5: Solve for x
    x = 1,262,469.87/1,158.96
  6. Step 6: Final answer
    x = 1,089.31

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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.