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Finding the Fourth Proportional to 709.97, 1,065.10 and 401.96

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Solution

The fourth proportional to 709.97, 1,065.10 and 401.96 is: 603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.97 : 1,065.10 = 401.96 : x
  2. Step 2: Convert to fraction form
    709.97/1,065.10 = 401.96/x
  3. Step 3: Cross multiply
    709.97x = 1,065.10 × 401.96
  4. Step 4: Simplify right side
    709.97x = 428,130.01
  5. Step 5: Solve for x
    x = 428,130.01/709.97
  6. Step 6: Final answer
    x = 603.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.