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Finding the Fourth Proportional to 967.47, 1,447.56 and 576.03

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Solution

The fourth proportional to 967.47, 1,447.56 and 576.03 is: 861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.47 : 1,447.56 = 576.03 : x
  2. Step 2: Convert to fraction form
    967.47/1,447.56 = 576.03/x
  3. Step 3: Cross multiply
    967.47x = 1,447.56 × 576.03
  4. Step 4: Simplify right side
    967.47x = 833,837.99
  5. Step 5: Solve for x
    x = 833,837.99/967.47
  6. Step 6: Final answer
    x = 861.87

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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.