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Finding the Fourth Proportional to 838.31, 1,156.41 and 523.51

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Solution

The fourth proportional to 838.31, 1,156.41 and 523.51 is: 722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.31 : 1,156.41 = 523.51 : x
  2. Step 2: Convert to fraction form
    838.31/1,156.41 = 523.51/x
  3. Step 3: Cross multiply
    838.31x = 1,156.41 × 523.51
  4. Step 4: Simplify right side
    838.31x = 605,389.31
  5. Step 5: Solve for x
    x = 605,389.31/838.31
  6. Step 6: Final answer
    x = 722.16

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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.