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Finding the Fourth Proportional to 910.59, 1,365.28 and 499.41

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Solution

The fourth proportional to 910.59, 1,365.28 and 499.41 is: 748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.59 : 1,365.28 = 499.41 : x
  2. Step 2: Convert to fraction form
    910.59/1,365.28 = 499.41/x
  3. Step 3: Cross multiply
    910.59x = 1,365.28 × 499.41
  4. Step 4: Simplify right side
    910.59x = 681,834.48
  5. Step 5: Solve for x
    x = 681,834.48/910.59
  6. Step 6: Final answer
    x = 748.78

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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.