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Finding the Fourth Proportional to 946.86, 1,306.31 and 573.59

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Solution

The fourth proportional to 946.86, 1,306.31 and 573.59 is: 791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.86 : 1,306.31 = 573.59 : x
  2. Step 2: Convert to fraction form
    946.86/1,306.31 = 573.59/x
  3. Step 3: Cross multiply
    946.86x = 1,306.31 × 573.59
  4. Step 4: Simplify right side
    946.86x = 749,276.95
  5. Step 5: Solve for x
    x = 749,276.95/946.86
  6. Step 6: Final answer
    x = 791.33

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Double scale
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1.5x scale

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.