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Finding the Fourth Proportional to 969.30, 1,337.76 and 596.52

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Solution

The fourth proportional to 969.30, 1,337.76 and 596.52 is: 823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.30 : 1,337.76 = 596.52 : x
  2. Step 2: Convert to fraction form
    969.30/1,337.76 = 596.52/x
  3. Step 3: Cross multiply
    969.30x = 1,337.76 × 596.52
  4. Step 4: Simplify right side
    969.30x = 798,000.60
  5. Step 5: Solve for x
    x = 798,000.60/969.30
  6. Step 6: Final answer
    x = 823.28

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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.