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Finding the Fourth Proportional to 734.35, 1,013.41 and 402.77

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Solution

The fourth proportional to 734.35, 1,013.41 and 402.77 is: 555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.35 : 1,013.41 = 402.77 : x
  2. Step 2: Convert to fraction form
    734.35/1,013.41 = 402.77/x
  3. Step 3: Cross multiply
    734.35x = 1,013.41 × 402.77
  4. Step 4: Simplify right side
    734.35x = 408,172.47
  5. Step 5: Solve for x
    x = 408,172.47/734.35
  6. Step 6: Final answer
    x = 555.83

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1.5x scale

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.