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Finding the Fourth Proportional to 969.01, 1,453.52 and 352.72

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Solution

The fourth proportional to 969.01, 1,453.52 and 352.72 is: 529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.01 : 1,453.52 = 352.72 : x
  2. Step 2: Convert to fraction form
    969.01/1,453.52 = 352.72/x
  3. Step 3: Cross multiply
    969.01x = 1,453.52 × 352.72
  4. Step 4: Simplify right side
    969.01x = 512,676.54
  5. Step 5: Solve for x
    x = 512,676.54/969.01
  6. Step 6: Final answer
    x = 529.08

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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.