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Finding the Fourth Proportional to 969.14, 1,454.16 and 352.68

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Solution

The fourth proportional to 969.14, 1,454.16 and 352.68 is: 529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.14 : 1,454.16 = 352.68 : x
  2. Step 2: Convert to fraction form
    969.14/1,454.16 = 352.68/x
  3. Step 3: Cross multiply
    969.14x = 1,454.16 × 352.68
  4. Step 4: Simplify right side
    969.14x = 512,853.15
  5. Step 5: Solve for x
    x = 512,853.15/969.14
  6. Step 6: Final answer
    x = 529.18

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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.