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Finding the Fourth Proportional to 734.42, 1,102.07 and 295.71

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Solution

The fourth proportional to 734.42, 1,102.07 and 295.71 is: 443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.42 : 1,102.07 = 295.71 : x
  2. Step 2: Convert to fraction form
    734.42/1,102.07 = 295.71/x
  3. Step 3: Cross multiply
    734.42x = 1,102.07 × 295.71
  4. Step 4: Simplify right side
    734.42x = 325,895.93
  5. Step 5: Solve for x
    x = 325,895.93/734.42
  6. Step 6: Final answer
    x = 443.74

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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.