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Finding the Fourth Proportional to 946.69, 1,306.68 and 573.68

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Solution

The fourth proportional to 946.69, 1,306.68 and 573.68 is: 791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.69 : 1,306.68 = 573.68 : x
  2. Step 2: Convert to fraction form
    946.69/1,306.68 = 573.68/x
  3. Step 3: Cross multiply
    946.69x = 1,306.68 × 573.68
  4. Step 4: Simplify right side
    946.69x = 749,620.52
  5. Step 5: Solve for x
    x = 749,620.52/946.69
  6. Step 6: Final answer
    x = 791.84

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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.