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Finding the Fourth Proportional to 759.37, 1,046.69 and 593.29

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Solution

The fourth proportional to 759.37, 1,046.69 and 593.29 is: 817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.37 : 1,046.69 = 593.29 : x
  2. Step 2: Convert to fraction form
    759.37/1,046.69 = 593.29/x
  3. Step 3: Cross multiply
    759.37x = 1,046.69 × 593.29
  4. Step 4: Simplify right side
    759.37x = 620,989.58
  5. Step 5: Solve for x
    x = 620,989.58/759.37
  6. Step 6: Final answer
    x = 817.77

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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.