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Finding the Fourth Proportional to 524.88, 782.73 and 512.46

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Solution

The fourth proportional to 524.88, 782.73 and 512.46 is: 764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.88 : 782.73 = 512.46 : x
  2. Step 2: Convert to fraction form
    524.88/782.73 = 512.46/x
  3. Step 3: Cross multiply
    524.88x = 782.73 × 512.46
  4. Step 4: Simplify right side
    524.88x = 401,117.82
  5. Step 5: Solve for x
    x = 401,117.82/524.88
  6. Step 6: Final answer
    x = 764.21

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