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Finding the Fourth Proportional to 514.87, 772.92 and 493.99

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Solution

The fourth proportional to 514.87, 772.92 and 493.99 is: 741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.87 : 772.92 = 493.99 : x
  2. Step 2: Convert to fraction form
    514.87/772.92 = 493.99/x
  3. Step 3: Cross multiply
    514.87x = 772.92 × 493.99
  4. Step 4: Simplify right side
    514.87x = 381,812.82
  5. Step 5: Solve for x
    x = 381,812.82/514.87
  6. Step 6: Final answer
    x = 741.57

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Why These Related Problems?

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