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Finding the Fourth Proportional to 726.63, 1,002.57 and 446.91

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Solution

The fourth proportional to 726.63, 1,002.57 and 446.91 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.63 : 1,002.57 = 446.91 : x
  2. Step 2: Convert to fraction form
    726.63/1,002.57 = 446.91/x
  3. Step 3: Cross multiply
    726.63x = 1,002.57 × 446.91
  4. Step 4: Simplify right side
    726.63x = 448,058.56
  5. Step 5: Solve for x
    x = 448,058.56/726.63
  6. Step 6: Final answer
    x = 616.63

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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.