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Finding the Fourth Proportional to 1,566.32, 2,161.55 and 867.69

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Solution

The fourth proportional to 1,566.32, 2,161.55 and 867.69 is: 1,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.32 : 2,161.55 = 867.69 : x
  2. Step 2: Convert to fraction form
    1,566.32/2,161.55 = 867.69/x
  3. Step 3: Cross multiply
    1,566.32x = 2,161.55 × 867.69
  4. Step 4: Simplify right side
    1,566.32x = 1,875,557.49
  5. Step 5: Solve for x
    x = 1,875,557.49/1,566.32
  6. Step 6: Final answer
    x = 1,197.43

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Half scale
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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.