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Finding the Fourth Proportional to 734.15, 1,099.57 and 515.75

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Solution

The fourth proportional to 734.15, 1,099.57 and 515.75 is: 772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.15 : 1,099.57 = 515.75 : x
  2. Step 2: Convert to fraction form
    734.15/1,099.57 = 515.75/x
  3. Step 3: Cross multiply
    734.15x = 1,099.57 × 515.75
  4. Step 4: Simplify right side
    734.15x = 567,103.23
  5. Step 5: Solve for x
    x = 567,103.23/734.15
  6. Step 6: Final answer
    x = 772.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.