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Finding the Fourth Proportional to 1,332.99, 1,998.21 and 466.68

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Solution

The fourth proportional to 1,332.99, 1,998.21 and 466.68 is: 699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.99 : 1,998.21 = 466.68 : x
  2. Step 2: Convert to fraction form
    1,332.99/1,998.21 = 466.68/x
  3. Step 3: Cross multiply
    1,332.99x = 1,998.21 × 466.68
  4. Step 4: Simplify right side
    1,332.99x = 932,524.64
  5. Step 5: Solve for x
    x = 932,524.64/1,332.99
  6. Step 6: Final answer
    x = 699.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.