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Finding the Fourth Proportional to 1,066.97, 1,469.48 and 1,011.39

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Solution

The fourth proportional to 1,066.97, 1,469.48 and 1,011.39 is: 1,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.97 : 1,469.48 = 1,011.39 : x
  2. Step 2: Convert to fraction form
    1,066.97/1,469.48 = 1,011.39/x
  3. Step 3: Cross multiply
    1,066.97x = 1,469.48 × 1,011.39
  4. Step 4: Simplify right side
    1,066.97x = 1,486,206.81
  5. Step 5: Solve for x
    x = 1,486,206.81/1,066.97
  6. Step 6: Final answer
    x = 1,392.92

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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.