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Finding the Fourth Proportional to 726.44, 1,002.66 and 464.36

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Solution

The fourth proportional to 726.44, 1,002.66 and 464.36 is: 640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.44 : 1,002.66 = 464.36 : x
  2. Step 2: Convert to fraction form
    726.44/1,002.66 = 464.36/x
  3. Step 3: Cross multiply
    726.44x = 1,002.66 × 464.36
  4. Step 4: Simplify right side
    726.44x = 465,595.20
  5. Step 5: Solve for x
    x = 465,595.20/726.44
  6. Step 6: Final answer
    x = 640.93

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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.