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Finding the Fourth Proportional to 969.64, 1,456.08 and 824.65

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Solution

The fourth proportional to 969.64, 1,456.08 and 824.65 is: 1,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.64 : 1,456.08 = 824.65 : x
  2. Step 2: Convert to fraction form
    969.64/1,456.08 = 824.65/x
  3. Step 3: Cross multiply
    969.64x = 1,456.08 × 824.65
  4. Step 4: Simplify right side
    969.64x = 1,200,756.37
  5. Step 5: Solve for x
    x = 1,200,756.37/969.64
  6. Step 6: Final answer
    x = 1,238.35

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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.