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Finding the Fourth Proportional to 946.56, 1,306.29 and 573.48

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Solution

The fourth proportional to 946.56, 1,306.29 and 573.48 is: 791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.56 : 1,306.29 = 573.48 : x
  2. Step 2: Convert to fraction form
    946.56/1,306.29 = 573.48/x
  3. Step 3: Cross multiply
    946.56x = 1,306.29 × 573.48
  4. Step 4: Simplify right side
    946.56x = 749,131.19
  5. Step 5: Solve for x
    x = 749,131.19/946.56
  6. Step 6: Final answer
    x = 791.42

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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.