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Finding the Fourth Proportional to 1,195.13, 1,650.84 and 918.77

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Solution

The fourth proportional to 1,195.13, 1,650.84 and 918.77 is: 1,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.13 : 1,650.84 = 918.77 : x
  2. Step 2: Convert to fraction form
    1,195.13/1,650.84 = 918.77/x
  3. Step 3: Cross multiply
    1,195.13x = 1,650.84 × 918.77
  4. Step 4: Simplify right side
    1,195.13x = 1,516,734.01
  5. Step 5: Solve for x
    x = 1,516,734.01/1,195.13
  6. Step 6: Final answer
    x = 1,269.09

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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.