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Finding the Fourth Proportional to 911.55, 1,364.37 and 499.65

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Solution

The fourth proportional to 911.55, 1,364.37 and 499.65 is: 747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.55 : 1,364.37 = 499.65 : x
  2. Step 2: Convert to fraction form
    911.55/1,364.37 = 499.65/x
  3. Step 3: Cross multiply
    911.55x = 1,364.37 × 499.65
  4. Step 4: Simplify right side
    911.55x = 681,707.47
  5. Step 5: Solve for x
    x = 681,707.47/911.55
  6. Step 6: Final answer
    x = 747.86

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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.