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Finding the Fourth Proportional to 768.85, 1,153.24 and 537.07

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Solution

The fourth proportional to 768.85, 1,153.24 and 537.07 is: 805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.85 : 1,153.24 = 537.07 : x
  2. Step 2: Convert to fraction form
    768.85/1,153.24 = 537.07/x
  3. Step 3: Cross multiply
    768.85x = 1,153.24 × 537.07
  4. Step 4: Simplify right side
    768.85x = 619,370.61
  5. Step 5: Solve for x
    x = 619,370.61/768.85
  6. Step 6: Final answer
    x = 805.58

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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.