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Finding the Fourth Proportional to 986.31, 1,477.85 and 726.84

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Solution

The fourth proportional to 986.31, 1,477.85 and 726.84 is: 1,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.31 : 1,477.85 = 726.84 : x
  2. Step 2: Convert to fraction form
    986.31/1,477.85 = 726.84/x
  3. Step 3: Cross multiply
    986.31x = 1,477.85 × 726.84
  4. Step 4: Simplify right side
    986.31x = 1,074,156.86
  5. Step 5: Solve for x
    x = 1,074,156.86/986.31
  6. Step 6: Final answer
    x = 1,089.07

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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.