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Finding the Fourth Proportional to 945.60, 1,305 and 596.28

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Solution

The fourth proportional to 945.60, 1,305 and 596.28 is: 822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.60 : 1,305 = 596.28 : x
  2. Step 2: Convert to fraction form
    945.60/1,305 = 596.28/x
  3. Step 3: Cross multiply
    945.60x = 1,305 × 596.28
  4. Step 4: Simplify right side
    945.60x = 778,145.40
  5. Step 5: Solve for x
    x = 778,145.40/945.60
  6. Step 6: Final answer
    x = 822.91

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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.