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Finding the Fourth Proportional to 947, 1,306.86 and 553.88

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Solution

The fourth proportional to 947, 1,306.86 and 553.88 is: 764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    947 : 1,306.86 = 553.88 : x
  2. Step 2: Convert to fraction form
    947/1,306.86 = 553.88/x
  3. Step 3: Cross multiply
    947x = 1,306.86 × 553.88
  4. Step 4: Simplify right side
    947x = 723,843.62
  5. Step 5: Solve for x
    x = 723,843.62/947
  6. Step 6: Final answer
    x = 764.35

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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.