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Finding the Fourth Proportional to 726.36, 1,001.85 and 464.52

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Solution

The fourth proportional to 726.36, 1,001.85 and 464.52 is: 640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.36 : 1,001.85 = 464.52 : x
  2. Step 2: Convert to fraction form
    726.36/1,001.85 = 464.52/x
  3. Step 3: Cross multiply
    726.36x = 1,001.85 × 464.52
  4. Step 4: Simplify right side
    726.36x = 465,379.36
  5. Step 5: Solve for x
    x = 465,379.36/726.36
  6. Step 6: Final answer
    x = 640.70

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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.