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Finding the Fourth Proportional to 726.11, 1,001.75 and 537.51

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Solution

The fourth proportional to 726.11, 1,001.75 and 537.51 is: 741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.11 : 1,001.75 = 537.51 : x
  2. Step 2: Convert to fraction form
    726.11/1,001.75 = 537.51/x
  3. Step 3: Cross multiply
    726.11x = 1,001.75 × 537.51
  4. Step 4: Simplify right side
    726.11x = 538,451.71
  5. Step 5: Solve for x
    x = 538,451.71/726.11
  6. Step 6: Final answer
    x = 741.56

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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.