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Finding the Fourth Proportional to 945.60, 1,304.92 and 525.95

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Solution

The fourth proportional to 945.60, 1,304.92 and 525.95 is: 725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.60 : 1,304.92 = 525.95 : x
  2. Step 2: Convert to fraction form
    945.60/1,304.92 = 525.95/x
  3. Step 3: Cross multiply
    945.60x = 1,304.92 × 525.95
  4. Step 4: Simplify right side
    945.60x = 686,324.62
  5. Step 5: Solve for x
    x = 686,324.62/945.60
  6. Step 6: Final answer
    x = 725.81

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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.