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Finding the Fourth Proportional to 509.00, 757.85 and 506.70

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Solution

The fourth proportional to 509.00, 757.85 and 506.70 is: 754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.00 : 757.85 = 506.70 : x
  2. Step 2: Convert to fraction form
    509.00/757.85 = 506.70/x
  3. Step 3: Cross multiply
    509.00x = 757.85 × 506.70
  4. Step 4: Simplify right side
    509.00x = 384,000.06
  5. Step 5: Solve for x
    x = 384,000.06/509.00
  6. Step 6: Final answer
    x = 754.43

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Why These Related Problems?

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