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Finding the Fourth Proportional to 759.26, 1,047.82 and 448.82

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Solution

The fourth proportional to 759.26, 1,047.82 and 448.82 is: 619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.26 : 1,047.82 = 448.82 : x
  2. Step 2: Convert to fraction form
    759.26/1,047.82 = 448.82/x
  3. Step 3: Cross multiply
    759.26x = 1,047.82 × 448.82
  4. Step 4: Simplify right side
    759.26x = 470,282.57
  5. Step 5: Solve for x
    x = 470,282.57/759.26
  6. Step 6: Final answer
    x = 619.40

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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.