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Finding the Fourth Proportional to 986.18, 1,478.44 and 465.88

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Solution

The fourth proportional to 986.18, 1,478.44 and 465.88 is: 698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.18 : 1,478.44 = 465.88 : x
  2. Step 2: Convert to fraction form
    986.18/1,478.44 = 465.88/x
  3. Step 3: Cross multiply
    986.18x = 1,478.44 × 465.88
  4. Step 4: Simplify right side
    986.18x = 688,775.63
  5. Step 5: Solve for x
    x = 688,775.63/986.18
  6. Step 6: Final answer
    x = 698.43

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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.