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Finding the Fourth Proportional to 759.80, 1,048.50 and 465.07

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Solution

The fourth proportional to 759.80, 1,048.50 and 465.07 is: 641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.80 : 1,048.50 = 465.07 : x
  2. Step 2: Convert to fraction form
    759.80/1,048.50 = 465.07/x
  3. Step 3: Cross multiply
    759.80x = 1,048.50 × 465.07
  4. Step 4: Simplify right side
    759.80x = 487,625.90
  5. Step 5: Solve for x
    x = 487,625.90/759.80
  6. Step 6: Final answer
    x = 641.78

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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.