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Finding the Fourth Proportional to 946.69, 1,306.13 and 573.48

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Solution

The fourth proportional to 946.69, 1,306.13 and 573.48 is: 791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.69 : 1,306.13 = 573.48 : x
  2. Step 2: Convert to fraction form
    946.69/1,306.13 = 573.48/x
  3. Step 3: Cross multiply
    946.69x = 1,306.13 × 573.48
  4. Step 4: Simplify right side
    946.69x = 749,036.57
  5. Step 5: Solve for x
    x = 749,036.57/946.69
  6. Step 6: Final answer
    x = 791.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.