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Finding the Fourth Proportional to 565.26, 782.93 and 523.14

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Solution

The fourth proportional to 565.26, 782.93 and 523.14 is: 724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.26 : 782.93 = 523.14 : x
  2. Step 2: Convert to fraction form
    565.26/782.93 = 523.14/x
  3. Step 3: Cross multiply
    565.26x = 782.93 × 523.14
  4. Step 4: Simplify right side
    565.26x = 409,579.38
  5. Step 5: Solve for x
    x = 409,579.38/565.26
  6. Step 6: Final answer
    x = 724.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.