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Finding the Fourth Proportional to 947, 1,306.86 and 574

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Solution

The fourth proportional to 947, 1,306.86 and 574 is: 792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    947 : 1,306.86 = 574 : x
  2. Step 2: Convert to fraction form
    947/1,306.86 = 574/x
  3. Step 3: Cross multiply
    947x = 1,306.86 × 574
  4. Step 4: Simplify right side
    947x = 750,137.64
  5. Step 5: Solve for x
    x = 750,137.64/947
  6. Step 6: Final answer
    x = 792.12

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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.