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Finding the Fourth Proportional to 734, 1,013.46 and 537.80

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Solution

The fourth proportional to 734, 1,013.46 and 537.80 is: 742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    734 : 1,013.46 = 537.80 : x
  2. Step 2: Convert to fraction form
    734/1,013.46 = 537.80/x
  3. Step 3: Cross multiply
    734x = 1,013.46 × 537.80
  4. Step 4: Simplify right side
    734x = 545,038.79
  5. Step 5: Solve for x
    x = 545,038.79/734
  6. Step 6: Final answer
    x = 742.56

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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.