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Finding the Fourth Proportional to 969.06, 1,337.02 and 596.01

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Solution

The fourth proportional to 969.06, 1,337.02 and 596.01 is: 822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.06 : 1,337.02 = 596.01 : x
  2. Step 2: Convert to fraction form
    969.06/1,337.02 = 596.01/x
  3. Step 3: Cross multiply
    969.06x = 1,337.02 × 596.01
  4. Step 4: Simplify right side
    969.06x = 796,877.29
  5. Step 5: Solve for x
    x = 796,877.29/969.06
  6. Step 6: Final answer
    x = 822.32

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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.