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Finding the Fourth Proportional to 947, 1,306.86 and 533

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Solution

The fourth proportional to 947, 1,306.86 and 533 is: 735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    947 : 1,306.86 = 533 : x
  2. Step 2: Convert to fraction form
    947/1,306.86 = 533/x
  3. Step 3: Cross multiply
    947x = 1,306.86 × 533
  4. Step 4: Simplify right side
    947x = 696,556.38
  5. Step 5: Solve for x
    x = 696,556.38/947
  6. Step 6: Final answer
    x = 735.54

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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.