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Finding the Fourth Proportional to 945.54, 1,304.78 and 552.60

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Solution

The fourth proportional to 945.54, 1,304.78 and 552.60 is: 762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.54 : 1,304.78 = 552.60 : x
  2. Step 2: Convert to fraction form
    945.54/1,304.78 = 552.60/x
  3. Step 3: Cross multiply
    945.54x = 1,304.78 × 552.60
  4. Step 4: Simplify right side
    945.54x = 721,021.43
  5. Step 5: Solve for x
    x = 721,021.43/945.54
  6. Step 6: Final answer
    x = 762.55

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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.