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Finding the Fourth Proportional to 969.24, 1,451.59 and 708.58

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Solution

The fourth proportional to 969.24, 1,451.59 and 708.58 is: 1,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.24 : 1,451.59 = 708.58 : x
  2. Step 2: Convert to fraction form
    969.24/1,451.59 = 708.58/x
  3. Step 3: Cross multiply
    969.24x = 1,451.59 × 708.58
  4. Step 4: Simplify right side
    969.24x = 1,028,564.10
  5. Step 5: Solve for x
    x = 1,028,564.10/969.24
  6. Step 6: Final answer
    x = 1,061.21

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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.