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Finding the Fourth Proportional to 986.52, 1,479.78 and 601.68

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Solution

The fourth proportional to 986.52, 1,479.78 and 601.68 is: 902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.52 : 1,479.78 = 601.68 : x
  2. Step 2: Convert to fraction form
    986.52/1,479.78 = 601.68/x
  3. Step 3: Cross multiply
    986.52x = 1,479.78 × 601.68
  4. Step 4: Simplify right side
    986.52x = 890,354.03
  5. Step 5: Solve for x
    x = 890,354.03/986.52
  6. Step 6: Final answer
    x = 902.52

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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.