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Finding the Fourth Proportional to 726.14, 1,090.94 and 466.65

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Solution

The fourth proportional to 726.14, 1,090.94 and 466.65 is: 701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.14 : 1,090.94 = 466.65 : x
  2. Step 2: Convert to fraction form
    726.14/1,090.94 = 466.65/x
  3. Step 3: Cross multiply
    726.14x = 1,090.94 × 466.65
  4. Step 4: Simplify right side
    726.14x = 509,087.15
  5. Step 5: Solve for x
    x = 509,087.15/726.14
  6. Step 6: Final answer
    x = 701.09

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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.