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Finding the Fourth Proportional to 1,332, 1,998.36 and 466.29

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Solution

The fourth proportional to 1,332, 1,998.36 and 466.29 is: 699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332 : 1,998.36 = 466.29 : x
  2. Step 2: Convert to fraction form
    1,332/1,998.36 = 466.29/x
  3. Step 3: Cross multiply
    1,332x = 1,998.36 × 466.29
  4. Step 4: Simplify right side
    1,332x = 931,815.28
  5. Step 5: Solve for x
    x = 931,815.28/1,332
  6. Step 6: Final answer
    x = 699.56

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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.