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Finding the Fourth Proportional to 969.46, 1,337.88 and 596.65

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Solution

The fourth proportional to 969.46, 1,337.88 and 596.65 is: 823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.46 : 1,337.88 = 596.65 : x
  2. Step 2: Convert to fraction form
    969.46/1,337.88 = 596.65/x
  3. Step 3: Cross multiply
    969.46x = 1,337.88 × 596.65
  4. Step 4: Simplify right side
    969.46x = 798,250.42
  5. Step 5: Solve for x
    x = 798,250.42/969.46
  6. Step 6: Final answer
    x = 823.40

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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.