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Finding the Fourth Proportional to 759.78, 1,137.81 and 434.16

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Solution

The fourth proportional to 759.78, 1,137.81 and 434.16 is: 650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.78 : 1,137.81 = 434.16 : x
  2. Step 2: Convert to fraction form
    759.78/1,137.81 = 434.16/x
  3. Step 3: Cross multiply
    759.78x = 1,137.81 × 434.16
  4. Step 4: Simplify right side
    759.78x = 493,991.59
  5. Step 5: Solve for x
    x = 493,991.59/759.78
  6. Step 6: Final answer
    x = 650.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.