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Finding the Fourth Proportional to 759.84, 1,138.66 and 412.88

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Solution

The fourth proportional to 759.84, 1,138.66 and 412.88 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.84 : 1,138.66 = 412.88 : x
  2. Step 2: Convert to fraction form
    759.84/1,138.66 = 412.88/x
  3. Step 3: Cross multiply
    759.84x = 1,138.66 × 412.88
  4. Step 4: Simplify right side
    759.84x = 470,129.94
  5. Step 5: Solve for x
    x = 470,129.94/759.84
  6. Step 6: Final answer
    x = 618.72

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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.