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Finding the Fourth Proportional to 679.84, 937.44 and 532.24

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Solution

The fourth proportional to 679.84, 937.44 and 532.24 is: 733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.84 : 937.44 = 532.24 : x
  2. Step 2: Convert to fraction form
    679.84/937.44 = 532.24/x
  3. Step 3: Cross multiply
    679.84x = 937.44 × 532.24
  4. Step 4: Simplify right side
    679.84x = 498,943.07
  5. Step 5: Solve for x
    x = 498,943.07/679.84
  6. Step 6: Final answer
    x = 733.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.