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Finding the Fourth Proportional to 609.66, 912.87 and 499.50

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Solution

The fourth proportional to 609.66, 912.87 and 499.50 is: 747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.66 : 912.87 = 499.50 : x
  2. Step 2: Convert to fraction form
    609.66/912.87 = 499.50/x
  3. Step 3: Cross multiply
    609.66x = 912.87 × 499.50
  4. Step 4: Simplify right side
    609.66x = 455,978.57
  5. Step 5: Solve for x
    x = 455,978.57/609.66
  6. Step 6: Final answer
    x = 747.92

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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.