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Finding the Fourth Proportional to 1,191.91, 1,785.70 and 574.73

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Solution

The fourth proportional to 1,191.91, 1,785.70 and 574.73 is: 861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.91 : 1,785.70 = 574.73 : x
  2. Step 2: Convert to fraction form
    1,191.91/1,785.70 = 574.73/x
  3. Step 3: Cross multiply
    1,191.91x = 1,785.70 × 574.73
  4. Step 4: Simplify right side
    1,191.91x = 1,026,295.36
  5. Step 5: Solve for x
    x = 1,026,295.36/1,191.91
  6. Step 6: Final answer
    x = 861.05

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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.