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Finding the Fourth Proportional to 945.46, 1,304.47 and 596.15

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Solution

The fourth proportional to 945.46, 1,304.47 and 596.15 is: 822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.46 : 1,304.47 = 596.15 : x
  2. Step 2: Convert to fraction form
    945.46/1,304.47 = 596.15/x
  3. Step 3: Cross multiply
    945.46x = 1,304.47 × 596.15
  4. Step 4: Simplify right side
    945.46x = 777,659.79
  5. Step 5: Solve for x
    x = 777,659.79/945.46
  6. Step 6: Final answer
    x = 822.52

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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.