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Finding the Fourth Proportional to 524.65, 787.53 and 512.89

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Solution

The fourth proportional to 524.65, 787.53 and 512.89 is: 769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.65 : 787.53 = 512.89 : x
  2. Step 2: Convert to fraction form
    524.65/787.53 = 512.89/x
  3. Step 3: Cross multiply
    524.65x = 787.53 × 512.89
  4. Step 4: Simplify right side
    524.65x = 403,909.76
  5. Step 5: Solve for x
    x = 403,909.76/524.65
  6. Step 6: Final answer
    x = 769.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.