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Finding the Fourth Proportional to 713.78, 986.41 and 537.33

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Solution

The fourth proportional to 713.78, 986.41 and 537.33 is: 742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.78 : 986.41 = 537.33 : x
  2. Step 2: Convert to fraction form
    713.78/986.41 = 537.33/x
  3. Step 3: Cross multiply
    713.78x = 986.41 × 537.33
  4. Step 4: Simplify right side
    713.78x = 530,032.06
  5. Step 5: Solve for x
    x = 530,032.06/713.78
  6. Step 6: Final answer
    x = 742.57

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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.