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Finding the Fourth Proportional to 1,332.81, 1,999.12 and 408.28

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Solution

The fourth proportional to 1,332.81, 1,999.12 and 408.28 is: 612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.81 : 1,999.12 = 408.28 : x
  2. Step 2: Convert to fraction form
    1,332.81/1,999.12 = 408.28/x
  3. Step 3: Cross multiply
    1,332.81x = 1,999.12 × 408.28
  4. Step 4: Simplify right side
    1,332.81x = 816,191.74
  5. Step 5: Solve for x
    x = 816,191.74/1,332.81
  6. Step 6: Final answer
    x = 612.39

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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.