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Finding the Fourth Proportional to 941, 1,412.14 and 566.06

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Solution

The fourth proportional to 941, 1,412.14 and 566.06 is: 849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    941 : 1,412.14 = 566.06 : x
  2. Step 2: Convert to fraction form
    941/1,412.14 = 566.06/x
  3. Step 3: Cross multiply
    941x = 1,412.14 × 566.06
  4. Step 4: Simplify right side
    941x = 799,355.97
  5. Step 5: Solve for x
    x = 799,355.97/941
  6. Step 6: Final answer
    x = 849.47

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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.