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Finding the Fourth Proportional to 734.56, 1,013.41 and 468.95

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Solution

The fourth proportional to 734.56, 1,013.41 and 468.95 is: 646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.56 : 1,013.41 = 468.95 : x
  2. Step 2: Convert to fraction form
    734.56/1,013.41 = 468.95/x
  3. Step 3: Cross multiply
    734.56x = 1,013.41 × 468.95
  4. Step 4: Simplify right side
    734.56x = 475,238.62
  5. Step 5: Solve for x
    x = 475,238.62/734.56
  6. Step 6: Final answer
    x = 646.97

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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.