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Finding the Fourth Proportional to 801.68, 1,106.39 and 506.97

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Solution

The fourth proportional to 801.68, 1,106.39 and 506.97 is: 699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.68 : 1,106.39 = 506.97 : x
  2. Step 2: Convert to fraction form
    801.68/1,106.39 = 506.97/x
  3. Step 3: Cross multiply
    801.68x = 1,106.39 × 506.97
  4. Step 4: Simplify right side
    801.68x = 560,907.81
  5. Step 5: Solve for x
    x = 560,907.81/801.68
  6. Step 6: Final answer
    x = 699.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.