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Finding the Fourth Proportional to 969.32, 1,335.31 and 720.21

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Solution

The fourth proportional to 969.32, 1,335.31 and 720.21 is: 992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.32 : 1,335.31 = 720.21 : x
  2. Step 2: Convert to fraction form
    969.32/1,335.31 = 720.21/x
  3. Step 3: Cross multiply
    969.32x = 1,335.31 × 720.21
  4. Step 4: Simplify right side
    969.32x = 961,703.62
  5. Step 5: Solve for x
    x = 961,703.62/969.32
  6. Step 6: Final answer
    x = 992.14

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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.