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Finding the Fourth Proportional to 726.29, 1,089.63 and 493.01

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Solution

The fourth proportional to 726.29, 1,089.63 and 493.01 is: 739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.29 : 1,089.63 = 493.01 : x
  2. Step 2: Convert to fraction form
    726.29/1,089.63 = 493.01/x
  3. Step 3: Cross multiply
    726.29x = 1,089.63 × 493.01
  4. Step 4: Simplify right side
    726.29x = 537,193.04
  5. Step 5: Solve for x
    x = 537,193.04/726.29
  6. Step 6: Final answer
    x = 739.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.