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Finding the Fourth Proportional to 734.57, 1,014.17 and 537.74

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Solution

The fourth proportional to 734.57, 1,014.17 and 537.74 is: 742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.57 : 1,014.17 = 537.74 : x
  2. Step 2: Convert to fraction form
    734.57/1,014.17 = 537.74/x
  3. Step 3: Cross multiply
    734.57x = 1,014.17 × 537.74
  4. Step 4: Simplify right side
    734.57x = 545,352.02
  5. Step 5: Solve for x
    x = 545,352.02/734.57
  6. Step 6: Final answer
    x = 742.41

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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.