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Finding the Fourth Proportional to 945.48, 1,418.68 and 712.73

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Solution

The fourth proportional to 945.48, 1,418.68 and 712.73 is: 1,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.48 : 1,418.68 = 712.73 : x
  2. Step 2: Convert to fraction form
    945.48/1,418.68 = 712.73/x
  3. Step 3: Cross multiply
    945.48x = 1,418.68 × 712.73
  4. Step 4: Simplify right side
    945.48x = 1,011,134.01
  5. Step 5: Solve for x
    x = 1,011,134.01/945.48
  6. Step 6: Final answer
    x = 1,069.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.