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Finding the Fourth Proportional to 969.13, 1,453.92 and 353.01

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Solution

The fourth proportional to 969.13, 1,453.92 and 353.01 is: 529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.13 : 1,453.92 = 353.01 : x
  2. Step 2: Convert to fraction form
    969.13/1,453.92 = 353.01/x
  3. Step 3: Cross multiply
    969.13x = 1,453.92 × 353.01
  4. Step 4: Simplify right side
    969.13x = 513,248.30
  5. Step 5: Solve for x
    x = 513,248.30/969.13
  6. Step 6: Final answer
    x = 529.60

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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.