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Finding the Fourth Proportional to 773.14, 1,066.93 and 441.63

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Solution

The fourth proportional to 773.14, 1,066.93 and 441.63 is: 609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.14 : 1,066.93 = 441.63 : x
  2. Step 2: Convert to fraction form
    773.14/1,066.93 = 441.63/x
  3. Step 3: Cross multiply
    773.14x = 1,066.93 × 441.63
  4. Step 4: Simplify right side
    773.14x = 471,187.59
  5. Step 5: Solve for x
    x = 471,187.59/773.14
  6. Step 6: Final answer
    x = 609.45

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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.