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Finding the Fourth Proportional to 726.95, 1,003.50 and 505.82

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Solution

The fourth proportional to 726.95, 1,003.50 and 505.82 is: 698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.95 : 1,003.50 = 505.82 : x
  2. Step 2: Convert to fraction form
    726.95/1,003.50 = 505.82/x
  3. Step 3: Cross multiply
    726.95x = 1,003.50 × 505.82
  4. Step 4: Simplify right side
    726.95x = 507,585.35
  5. Step 5: Solve for x
    x = 507,585.35/726.95
  6. Step 6: Final answer
    x = 698.24

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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.