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Finding the Fourth Proportional to 956.52, 1,431.87 and 712.44

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Solution

The fourth proportional to 956.52, 1,431.87 and 712.44 is: 1,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.52 : 1,431.87 = 712.44 : x
  2. Step 2: Convert to fraction form
    956.52/1,431.87 = 712.44/x
  3. Step 3: Cross multiply
    956.52x = 1,431.87 × 712.44
  4. Step 4: Simplify right side
    956.52x = 1,020,121.46
  5. Step 5: Solve for x
    x = 1,020,121.46/956.52
  6. Step 6: Final answer
    x = 1,066.49

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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.