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Finding the Fourth Proportional to 945.78, 1,304.52 and 596.22

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Solution

The fourth proportional to 945.78, 1,304.52 and 596.22 is: 822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.78 : 1,304.52 = 596.22 : x
  2. Step 2: Convert to fraction form
    945.78/1,304.52 = 596.22/x
  3. Step 3: Cross multiply
    945.78x = 1,304.52 × 596.22
  4. Step 4: Simplify right side
    945.78x = 777,780.91
  5. Step 5: Solve for x
    x = 777,780.91/945.78
  6. Step 6: Final answer
    x = 822.37

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Double scale
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1.5x scale

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.