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Finding the Fourth Proportional to 1,333.14, 1,999.46 and 784.68

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Solution

The fourth proportional to 1,333.14, 1,999.46 and 784.68 is: 1,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.14 : 1,999.46 = 784.68 : x
  2. Step 2: Convert to fraction form
    1,333.14/1,999.46 = 784.68/x
  3. Step 3: Cross multiply
    1,333.14x = 1,999.46 × 784.68
  4. Step 4: Simplify right side
    1,333.14x = 1,568,926.28
  5. Step 5: Solve for x
    x = 1,568,926.28/1,333.14
  6. Step 6: Final answer
    x = 1,176.87

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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.