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Finding the Fourth Proportional to 969.50, 1,453.77 and 353.11

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Solution

The fourth proportional to 969.50, 1,453.77 and 353.11 is: 529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.50 : 1,453.77 = 353.11 : x
  2. Step 2: Convert to fraction form
    969.50/1,453.77 = 353.11/x
  3. Step 3: Cross multiply
    969.50x = 1,453.77 × 353.11
  4. Step 4: Simplify right side
    969.50x = 513,340.72
  5. Step 5: Solve for x
    x = 513,340.72/969.50
  6. Step 6: Final answer
    x = 529.49

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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.