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Finding the Fourth Proportional to 506.12, 756.09 and 487.89

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Solution

The fourth proportional to 506.12, 756.09 and 487.89 is: 728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 756.09 = 487.89 : x
  2. Step 2: Convert to fraction form
    506.12/756.09 = 487.89/x
  3. Step 3: Cross multiply
    506.12x = 756.09 × 487.89
  4. Step 4: Simplify right side
    506.12x = 368,888.75
  5. Step 5: Solve for x
    x = 368,888.75/506.12
  6. Step 6: Final answer
    x = 728.86

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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.