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Finding the Fourth Proportional to 1,447.84, 1,998.02 and 784.70

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Solution

The fourth proportional to 1,447.84, 1,998.02 and 784.70 is: 1,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.84 : 1,998.02 = 784.70 : x
  2. Step 2: Convert to fraction form
    1,447.84/1,998.02 = 784.70/x
  3. Step 3: Cross multiply
    1,447.84x = 1,998.02 × 784.70
  4. Step 4: Simplify right side
    1,447.84x = 1,567,846.29
  5. Step 5: Solve for x
    x = 1,567,846.29/1,447.84
  6. Step 6: Final answer
    x = 1,082.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.