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Finding the Fourth Proportional to 1,066.46, 1,471.33 and 667.85

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Solution

The fourth proportional to 1,066.46, 1,471.33 and 667.85 is: 921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.46 : 1,471.33 = 667.85 : x
  2. Step 2: Convert to fraction form
    1,066.46/1,471.33 = 667.85/x
  3. Step 3: Cross multiply
    1,066.46x = 1,471.33 × 667.85
  4. Step 4: Simplify right side
    1,066.46x = 982,627.74
  5. Step 5: Solve for x
    x = 982,627.74/1,066.46
  6. Step 6: Final answer
    x = 921.39

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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.