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Finding the Fourth Proportional to 1,191.70, 1,641.06 and 859.55

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Solution

The fourth proportional to 1,191.70, 1,641.06 and 859.55 is: 1,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.70 : 1,641.06 = 859.55 : x
  2. Step 2: Convert to fraction form
    1,191.70/1,641.06 = 859.55/x
  3. Step 3: Cross multiply
    1,191.70x = 1,641.06 × 859.55
  4. Step 4: Simplify right side
    1,191.70x = 1,410,573.12
  5. Step 5: Solve for x
    x = 1,410,573.12/1,191.70
  6. Step 6: Final answer
    x = 1,183.66

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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.