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Finding the Fourth Proportional to 843.05, 1,264.53 and 432.17

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Solution

The fourth proportional to 843.05, 1,264.53 and 432.17 is: 648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.05 : 1,264.53 = 432.17 : x
  2. Step 2: Convert to fraction form
    843.05/1,264.53 = 432.17/x
  3. Step 3: Cross multiply
    843.05x = 1,264.53 × 432.17
  4. Step 4: Simplify right side
    843.05x = 546,491.93
  5. Step 5: Solve for x
    x = 546,491.93/843.05
  6. Step 6: Final answer
    x = 648.23

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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.