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Finding the Fourth Proportional to 769.99, 1,062.25 and 521.22

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Solution

The fourth proportional to 769.99, 1,062.25 and 521.22 is: 719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.99 : 1,062.25 = 521.22 : x
  2. Step 2: Convert to fraction form
    769.99/1,062.25 = 521.22/x
  3. Step 3: Cross multiply
    769.99x = 1,062.25 × 521.22
  4. Step 4: Simplify right side
    769.99x = 553,665.95
  5. Step 5: Solve for x
    x = 553,665.95/769.99
  6. Step 6: Final answer
    x = 719.06

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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.