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Finding the Fourth Proportional to 947.03, 1,306.41 and 573.80

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Solution

The fourth proportional to 947.03, 1,306.41 and 573.80 is: 791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.03 : 1,306.41 = 573.80 : x
  2. Step 2: Convert to fraction form
    947.03/1,306.41 = 573.80/x
  3. Step 3: Cross multiply
    947.03x = 1,306.41 × 573.80
  4. Step 4: Simplify right side
    947.03x = 749,618.06
  5. Step 5: Solve for x
    x = 749,618.06/947.03
  6. Step 6: Final answer
    x = 791.55

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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.