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Finding the Fourth Proportional to 759.09, 1,046.48 and 572.79

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Solution

The fourth proportional to 759.09, 1,046.48 and 572.79 is: 789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.09 : 1,046.48 = 572.79 : x
  2. Step 2: Convert to fraction form
    759.09/1,046.48 = 572.79/x
  3. Step 3: Cross multiply
    759.09x = 1,046.48 × 572.79
  4. Step 4: Simplify right side
    759.09x = 599,410.42
  5. Step 5: Solve for x
    x = 599,410.42/759.09
  6. Step 6: Final answer
    x = 789.64

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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.