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Finding the Fourth Proportional to 726.61, 1,089.98 and 206.61

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Solution

The fourth proportional to 726.61, 1,089.98 and 206.61 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.61 : 1,089.98 = 206.61 : x
  2. Step 2: Convert to fraction form
    726.61/1,089.98 = 206.61/x
  3. Step 3: Cross multiply
    726.61x = 1,089.98 × 206.61
  4. Step 4: Simplify right side
    726.61x = 225,200.77
  5. Step 5: Solve for x
    x = 225,200.77/726.61
  6. Step 6: Final answer
    x = 309.93

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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.