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Finding the Fourth Proportional to 1,333.92, 1,998.38 and 784.46

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Solution

The fourth proportional to 1,333.92, 1,998.38 and 784.46 is: 1,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.92 : 1,998.38 = 784.46 : x
  2. Step 2: Convert to fraction form
    1,333.92/1,998.38 = 784.46/x
  3. Step 3: Cross multiply
    1,333.92x = 1,998.38 × 784.46
  4. Step 4: Simplify right side
    1,333.92x = 1,567,649.17
  5. Step 5: Solve for x
    x = 1,567,649.17/1,333.92
  6. Step 6: Final answer
    x = 1,175.22

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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.