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Finding the Fourth Proportional to 524.05, 786.08 and 511.90

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Solution

The fourth proportional to 524.05, 786.08 and 511.90 is: 767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.05 : 786.08 = 511.90 : x
  2. Step 2: Convert to fraction form
    524.05/786.08 = 511.90/x
  3. Step 3: Cross multiply
    524.05x = 786.08 × 511.90
  4. Step 4: Simplify right side
    524.05x = 402,391.79
  5. Step 5: Solve for x
    x = 402,391.79/524.05
  6. Step 6: Final answer
    x = 767.85

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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.