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Finding the Fourth Proportional to 1,332.14, 1,999.12 and 466.44

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Solution

The fourth proportional to 1,332.14, 1,999.12 and 466.44 is: 699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.14 : 1,999.12 = 466.44 : x
  2. Step 2: Convert to fraction form
    1,332.14/1,999.12 = 466.44/x
  3. Step 3: Cross multiply
    1,332.14x = 1,999.12 × 466.44
  4. Step 4: Simplify right side
    1,332.14x = 932,469.53
  5. Step 5: Solve for x
    x = 932,469.53/1,332.14
  6. Step 6: Final answer
    x = 699.98

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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.