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Finding the Fourth Proportional to 986.33, 1,478.88 and 466.02

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Solution

The fourth proportional to 986.33, 1,478.88 and 466.02 is: 698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.33 : 1,478.88 = 466.02 : x
  2. Step 2: Convert to fraction form
    986.33/1,478.88 = 466.02/x
  3. Step 3: Cross multiply
    986.33x = 1,478.88 × 466.02
  4. Step 4: Simplify right side
    986.33x = 689,187.66
  5. Step 5: Solve for x
    x = 689,187.66/986.33
  6. Step 6: Final answer
    x = 698.74

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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.