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Finding the Fourth Proportional to 1,191.69, 1,785.99 and 566.97

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Solution

The fourth proportional to 1,191.69, 1,785.99 and 566.97 is: 849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.69 : 1,785.99 = 566.97 : x
  2. Step 2: Convert to fraction form
    1,191.69/1,785.99 = 566.97/x
  3. Step 3: Cross multiply
    1,191.69x = 1,785.99 × 566.97
  4. Step 4: Simplify right side
    1,191.69x = 1,012,602.75
  5. Step 5: Solve for x
    x = 1,012,602.75/1,191.69
  6. Step 6: Final answer
    x = 849.72

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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.