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Finding the Fourth Proportional to 945.37, 1,304.13 and 650.80

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Solution

The fourth proportional to 945.37, 1,304.13 and 650.80 is: 897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.37 : 1,304.13 = 650.80 : x
  2. Step 2: Convert to fraction form
    945.37/1,304.13 = 650.80/x
  3. Step 3: Cross multiply
    945.37x = 1,304.13 × 650.80
  4. Step 4: Simplify right side
    945.37x = 848,727.80
  5. Step 5: Solve for x
    x = 848,727.80/945.37
  6. Step 6: Final answer
    x = 897.77

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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.