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Finding the Fourth Proportional to 969.22, 1,337.34 and 596.51

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Solution

The fourth proportional to 969.22, 1,337.34 and 596.51 is: 823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.22 : 1,337.34 = 596.51 : x
  2. Step 2: Convert to fraction form
    969.22/1,337.34 = 596.51/x
  3. Step 3: Cross multiply
    969.22x = 1,337.34 × 596.51
  4. Step 4: Simplify right side
    969.22x = 797,739.74
  5. Step 5: Solve for x
    x = 797,739.74/969.22
  6. Step 6: Final answer
    x = 823.08

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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.