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Finding the Fourth Proportional to 1,066.75, 1,472.16 and 601

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Solution

The fourth proportional to 1,066.75, 1,472.16 and 601 is: 829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.75 : 1,472.16 = 601 : x
  2. Step 2: Convert to fraction form
    1,066.75/1,472.16 = 601/x
  3. Step 3: Cross multiply
    1,066.75x = 1,472.16 × 601
  4. Step 4: Simplify right side
    1,066.75x = 884,768.16
  5. Step 5: Solve for x
    x = 884,768.16/1,066.75
  6. Step 6: Final answer
    x = 829.41

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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.