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Finding the Fourth Proportional to 524.52, 782.67 and 512.18

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Solution

The fourth proportional to 524.52, 782.67 and 512.18 is: 764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.52 : 782.67 = 512.18 : x
  2. Step 2: Convert to fraction form
    524.52/782.67 = 512.18/x
  3. Step 3: Cross multiply
    524.52x = 782.67 × 512.18
  4. Step 4: Simplify right side
    524.52x = 400,867.92
  5. Step 5: Solve for x
    x = 400,867.92/524.52
  6. Step 6: Final answer
    x = 764.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.