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Finding the Fourth Proportional to 524.63, 782.98 and 512.35

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Solution

The fourth proportional to 524.63, 782.98 and 512.35 is: 764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 782.98 = 512.35 : x
  2. Step 2: Convert to fraction form
    524.63/782.98 = 512.35/x
  3. Step 3: Cross multiply
    524.63x = 782.98 × 512.35
  4. Step 4: Simplify right side
    524.63x = 401,156.56
  5. Step 5: Solve for x
    x = 401,156.56/524.63
  6. Step 6: Final answer
    x = 764.64

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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.