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Finding the Fourth Proportional to 986.30, 1,478.66 and 466.02

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Solution

The fourth proportional to 986.30, 1,478.66 and 466.02 is: 698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.30 : 1,478.66 = 466.02 : x
  2. Step 2: Convert to fraction form
    986.30/1,478.66 = 466.02/x
  3. Step 3: Cross multiply
    986.30x = 1,478.66 × 466.02
  4. Step 4: Simplify right side
    986.30x = 689,082.80
  5. Step 5: Solve for x
    x = 689,082.80/986.30
  6. Step 6: Final answer
    x = 698.66

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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.