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Finding the Fourth Proportional to 968.34, 1,337.07 and 595.49

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Solution

The fourth proportional to 968.34, 1,337.07 and 595.49 is: 822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.34 : 1,337.07 = 595.49 : x
  2. Step 2: Convert to fraction form
    968.34/1,337.07 = 595.49/x
  3. Step 3: Cross multiply
    968.34x = 1,337.07 × 595.49
  4. Step 4: Simplify right side
    968.34x = 796,205.13
  5. Step 5: Solve for x
    x = 796,205.13/968.34
  6. Step 6: Final answer
    x = 822.24

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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.