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Finding the Fourth Proportional to 726.05, 1,089.90 and 293.51

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Solution

The fourth proportional to 726.05, 1,089.90 and 293.51 is: 440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.05 : 1,089.90 = 293.51 : x
  2. Step 2: Convert to fraction form
    726.05/1,089.90 = 293.51/x
  3. Step 3: Cross multiply
    726.05x = 1,089.90 × 293.51
  4. Step 4: Simplify right side
    726.05x = 319,895.08
  5. Step 5: Solve for x
    x = 319,895.08/726.05
  6. Step 6: Final answer
    x = 440.60

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