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Finding the Fourth Proportional to 1,391.46, 1,919.64 and 867.20

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Solution

The fourth proportional to 1,391.46, 1,919.64 and 867.20 is: 1,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.46 : 1,919.64 = 867.20 : x
  2. Step 2: Convert to fraction form
    1,391.46/1,919.64 = 867.20/x
  3. Step 3: Cross multiply
    1,391.46x = 1,919.64 × 867.20
  4. Step 4: Simplify right side
    1,391.46x = 1,664,702.21
  5. Step 5: Solve for x
    x = 1,664,702.21/1,391.46
  6. Step 6: Final answer
    x = 1,196.37

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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.