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Finding the Fourth Proportional to 734.42, 1,013.53 and 402.86

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Solution

The fourth proportional to 734.42, 1,013.53 and 402.86 is: 555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.42 : 1,013.53 = 402.86 : x
  2. Step 2: Convert to fraction form
    734.42/1,013.53 = 402.86/x
  3. Step 3: Cross multiply
    734.42x = 1,013.53 × 402.86
  4. Step 4: Simplify right side
    734.42x = 408,310.70
  5. Step 5: Solve for x
    x = 408,310.70/734.42
  6. Step 6: Final answer
    x = 555.96

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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.