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Finding the Fourth Proportional to 1,195.70, 1,650.11 and 985.77

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Solution

The fourth proportional to 1,195.70, 1,650.11 and 985.77 is: 1,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.70 : 1,650.11 = 985.77 : x
  2. Step 2: Convert to fraction form
    1,195.70/1,650.11 = 985.77/x
  3. Step 3: Cross multiply
    1,195.70x = 1,650.11 × 985.77
  4. Step 4: Simplify right side
    1,195.70x = 1,626,624.01
  5. Step 5: Solve for x
    x = 1,626,624.01/1,195.70
  6. Step 6: Final answer
    x = 1,360.40

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