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Finding the Fourth Proportional to 759.24, 1,046.69 and 590.66

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Solution

The fourth proportional to 759.24, 1,046.69 and 590.66 is: 814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.24 : 1,046.69 = 590.66 : x
  2. Step 2: Convert to fraction form
    759.24/1,046.69 = 590.66/x
  3. Step 3: Cross multiply
    759.24x = 1,046.69 × 590.66
  4. Step 4: Simplify right side
    759.24x = 618,242.01
  5. Step 5: Solve for x
    x = 618,242.01/759.24
  6. Step 6: Final answer
    x = 814.29

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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.