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Finding the Fourth Proportional to 1,000.23, 1,497.77 and 726.09

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Solution

The fourth proportional to 1,000.23, 1,497.77 and 726.09 is: 1,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.23 : 1,497.77 = 726.09 : x
  2. Step 2: Convert to fraction form
    1,000.23/1,497.77 = 726.09/x
  3. Step 3: Cross multiply
    1,000.23x = 1,497.77 × 726.09
  4. Step 4: Simplify right side
    1,000.23x = 1,087,512.19
  5. Step 5: Solve for x
    x = 1,087,512.19/1,000.23
  6. Step 6: Final answer
    x = 1,087.26

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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.