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Finding the Fourth Proportional to 1,066.13, 1,597.42 and 834.06

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Solution

The fourth proportional to 1,066.13, 1,597.42 and 834.06 is: 1,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.13 : 1,597.42 = 834.06 : x
  2. Step 2: Convert to fraction form
    1,066.13/1,597.42 = 834.06/x
  3. Step 3: Cross multiply
    1,066.13x = 1,597.42 × 834.06
  4. Step 4: Simplify right side
    1,066.13x = 1,332,351.16
  5. Step 5: Solve for x
    x = 1,332,351.16/1,066.13
  6. Step 6: Final answer
    x = 1,249.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.