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Finding the Fourth Proportional to 726.66, 1,003.05 and 505.98

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Solution

The fourth proportional to 726.66, 1,003.05 and 505.98 is: 698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.66 : 1,003.05 = 505.98 : x
  2. Step 2: Convert to fraction form
    726.66/1,003.05 = 505.98/x
  3. Step 3: Cross multiply
    726.66x = 1,003.05 × 505.98
  4. Step 4: Simplify right side
    726.66x = 507,523.24
  5. Step 5: Solve for x
    x = 507,523.24/726.66
  6. Step 6: Final answer
    x = 698.43

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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.