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Finding the Fourth Proportional to 701.79, 966.75 and 591.23

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Solution

The fourth proportional to 701.79, 966.75 and 591.23 is: 814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.79 : 966.75 = 591.23 : x
  2. Step 2: Convert to fraction form
    701.79/966.75 = 591.23/x
  3. Step 3: Cross multiply
    701.79x = 966.75 × 591.23
  4. Step 4: Simplify right side
    701.79x = 571,571.60
  5. Step 5: Solve for x
    x = 571,571.60/701.79
  6. Step 6: Final answer
    x = 814.45

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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.