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Finding the Fourth Proportional to 943.20, 1,415.20 and 510.26

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Solution

The fourth proportional to 943.20, 1,415.20 and 510.26 is: 765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.20 : 1,415.20 = 510.26 : x
  2. Step 2: Convert to fraction form
    943.20/1,415.20 = 510.26/x
  3. Step 3: Cross multiply
    943.20x = 1,415.20 × 510.26
  4. Step 4: Simplify right side
    943.20x = 722,119.95
  5. Step 5: Solve for x
    x = 722,119.95/943.20
  6. Step 6: Final answer
    x = 765.61

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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.