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Finding the Fourth Proportional to 524.10, 784.96 and 514.06

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Solution

The fourth proportional to 524.10, 784.96 and 514.06 is: 769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.10 : 784.96 = 514.06 : x
  2. Step 2: Convert to fraction form
    524.10/784.96 = 514.06/x
  3. Step 3: Cross multiply
    524.10x = 784.96 × 514.06
  4. Step 4: Simplify right side
    524.10x = 403,516.54
  5. Step 5: Solve for x
    x = 403,516.54/524.10
  6. Step 6: Final answer
    x = 769.92

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Why These Related Problems?

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