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Finding the Fourth Proportional to 1,066.81, 1,597.75 and 1,029.87

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Solution

The fourth proportional to 1,066.81, 1,597.75 and 1,029.87 is: 1,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.81 : 1,597.75 = 1,029.87 : x
  2. Step 2: Convert to fraction form
    1,066.81/1,597.75 = 1,029.87/x
  3. Step 3: Cross multiply
    1,066.81x = 1,597.75 × 1,029.87
  4. Step 4: Simplify right side
    1,066.81x = 1,645,476.97
  5. Step 5: Solve for x
    x = 1,645,476.97/1,066.81
  6. Step 6: Final answer
    x = 1,542.43

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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.