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Finding the Fourth Proportional to 524.67, 782.57 and 514.95

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Solution

The fourth proportional to 524.67, 782.57 and 514.95 is: 768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.67 : 782.57 = 514.95 : x
  2. Step 2: Convert to fraction form
    524.67/782.57 = 514.95/x
  3. Step 3: Cross multiply
    524.67x = 782.57 × 514.95
  4. Step 4: Simplify right side
    524.67x = 402,981.85
  5. Step 5: Solve for x
    x = 402,981.85/524.67
  6. Step 6: Final answer
    x = 768.07

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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.