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Finding the Fourth Proportional to 734.86, 1,013.34 and 548.05

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Solution

The fourth proportional to 734.86, 1,013.34 and 548.05 is: 755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.86 : 1,013.34 = 548.05 : x
  2. Step 2: Convert to fraction form
    734.86/1,013.34 = 548.05/x
  3. Step 3: Cross multiply
    734.86x = 1,013.34 × 548.05
  4. Step 4: Simplify right side
    734.86x = 555,357.78
  5. Step 5: Solve for x
    x = 555,357.78/734.86
  6. Step 6: Final answer
    x = 755.74

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