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Finding the Fourth Proportional to 734.52, 1,013.64 and 402.94

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Solution

The fourth proportional to 734.52, 1,013.64 and 402.94 is: 556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.52 : 1,013.64 = 402.94 : x
  2. Step 2: Convert to fraction form
    734.52/1,013.64 = 402.94/x
  3. Step 3: Cross multiply
    734.52x = 1,013.64 × 402.94
  4. Step 4: Simplify right side
    734.52x = 408,436.10
  5. Step 5: Solve for x
    x = 408,436.10/734.52
  6. Step 6: Final answer
    x = 556.06

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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.