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Finding the Fourth Proportional to 843.10, 1,264.10 and 756.70

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Solution

The fourth proportional to 843.10, 1,264.10 and 756.70 is: 1,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.10 : 1,264.10 = 756.70 : x
  2. Step 2: Convert to fraction form
    843.10/1,264.10 = 756.70/x
  3. Step 3: Cross multiply
    843.10x = 1,264.10 × 756.70
  4. Step 4: Simplify right side
    843.10x = 956,544.47
  5. Step 5: Solve for x
    x = 956,544.47/843.10
  6. Step 6: Final answer
    x = 1,134.56

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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.