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Finding the Fourth Proportional to 986.22, 1,477.83 and 712.02

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Solution

The fourth proportional to 986.22, 1,477.83 and 712.02 is: 1,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.22 : 1,477.83 = 712.02 : x
  2. Step 2: Convert to fraction form
    986.22/1,477.83 = 712.02/x
  3. Step 3: Cross multiply
    986.22x = 1,477.83 × 712.02
  4. Step 4: Simplify right side
    986.22x = 1,052,244.52
  5. Step 5: Solve for x
    x = 1,052,244.52/986.22
  6. Step 6: Final answer
    x = 1,066.95

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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.