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Finding the Fourth Proportional to 759.62, 1,044.98 and 619.43

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Solution

The fourth proportional to 759.62, 1,044.98 and 619.43 is: 852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.62 : 1,044.98 = 619.43 : x
  2. Step 2: Convert to fraction form
    759.62/1,044.98 = 619.43/x
  3. Step 3: Cross multiply
    759.62x = 1,044.98 × 619.43
  4. Step 4: Simplify right side
    759.62x = 647,296.12
  5. Step 5: Solve for x
    x = 647,296.12/759.62
  6. Step 6: Final answer
    x = 852.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.