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Finding the Fourth Proportional to 1,194.02, 1,645.50 and 861.86

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Solution

The fourth proportional to 1,194.02, 1,645.50 and 861.86 is: 1,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.02 : 1,645.50 = 861.86 : x
  2. Step 2: Convert to fraction form
    1,194.02/1,645.50 = 861.86/x
  3. Step 3: Cross multiply
    1,194.02x = 1,645.50 × 861.86
  4. Step 4: Simplify right side
    1,194.02x = 1,418,190.63
  5. Step 5: Solve for x
    x = 1,418,190.63/1,194.02
  6. Step 6: Final answer
    x = 1,187.74

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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.