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Finding the Fourth Proportional to 773.01, 1,065.08 and 523.89

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Solution

The fourth proportional to 773.01, 1,065.08 and 523.89 is: 721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.01 : 1,065.08 = 523.89 : x
  2. Step 2: Convert to fraction form
    773.01/1,065.08 = 523.89/x
  3. Step 3: Cross multiply
    773.01x = 1,065.08 × 523.89
  4. Step 4: Simplify right side
    773.01x = 557,986.07
  5. Step 5: Solve for x
    x = 557,986.07/773.01
  6. Step 6: Final answer
    x = 721.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.