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Finding the Fourth Proportional to 945.64, 1,304.98 and 552.58

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Solution

The fourth proportional to 945.64, 1,304.98 and 552.58 is: 762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.64 : 1,304.98 = 552.58 : x
  2. Step 2: Convert to fraction form
    945.64/1,304.98 = 552.58/x
  3. Step 3: Cross multiply
    945.64x = 1,304.98 × 552.58
  4. Step 4: Simplify right side
    945.64x = 721,105.85
  5. Step 5: Solve for x
    x = 721,105.85/945.64
  6. Step 6: Final answer
    x = 762.56

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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.