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Finding the Fourth Proportional to 986.18, 1,477.71 and 523.83

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Solution

The fourth proportional to 986.18, 1,477.71 and 523.83 is: 784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.18 : 1,477.71 = 523.83 : x
  2. Step 2: Convert to fraction form
    986.18/1,477.71 = 523.83/x
  3. Step 3: Cross multiply
    986.18x = 1,477.71 × 523.83
  4. Step 4: Simplify right side
    986.18x = 774,074.37
  5. Step 5: Solve for x
    x = 774,074.37/986.18
  6. Step 6: Final answer
    x = 784.93

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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.