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Finding the Fourth Proportional to 1,066.41, 1,472.31 and 674.01

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Solution

The fourth proportional to 1,066.41, 1,472.31 and 674.01 is: 930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.41 : 1,472.31 = 674.01 : x
  2. Step 2: Convert to fraction form
    1,066.41/1,472.31 = 674.01/x
  3. Step 3: Cross multiply
    1,066.41x = 1,472.31 × 674.01
  4. Step 4: Simplify right side
    1,066.41x = 992,351.66
  5. Step 5: Solve for x
    x = 992,351.66/1,066.41
  6. Step 6: Final answer
    x = 930.55

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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.