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Finding the Fourth Proportional to 754.18, 1,041.58 and 726.84

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Solution

The fourth proportional to 754.18, 1,041.58 and 726.84 is: 1,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.18 : 1,041.58 = 726.84 : x
  2. Step 2: Convert to fraction form
    754.18/1,041.58 = 726.84/x
  3. Step 3: Cross multiply
    754.18x = 1,041.58 × 726.84
  4. Step 4: Simplify right side
    754.18x = 757,055.77
  5. Step 5: Solve for x
    x = 757,055.77/754.18
  6. Step 6: Final answer
    x = 1,003.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.