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Finding the Fourth Proportional to 726.84, 1,003.26 and 595.56

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Solution

The fourth proportional to 726.84, 1,003.26 and 595.56 is: 822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.84 : 1,003.26 = 595.56 : x
  2. Step 2: Convert to fraction form
    726.84/1,003.26 = 595.56/x
  3. Step 3: Cross multiply
    726.84x = 1,003.26 × 595.56
  4. Step 4: Simplify right side
    726.84x = 597,501.53
  5. Step 5: Solve for x
    x = 597,501.53/726.84
  6. Step 6: Final answer
    x = 822.05

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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.