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Finding the Fourth Proportional to 1,180.24, 1,626.69 and 885

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Solution

The fourth proportional to 1,180.24, 1,626.69 and 885 is: 1,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.24 : 1,626.69 = 885 : x
  2. Step 2: Convert to fraction form
    1,180.24/1,626.69 = 885/x
  3. Step 3: Cross multiply
    1,180.24x = 1,626.69 × 885
  4. Step 4: Simplify right side
    1,180.24x = 1,439,620.65
  5. Step 5: Solve for x
    x = 1,439,620.65/1,180.24
  6. Step 6: Final answer
    x = 1,219.77

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1.5x scale

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.