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Finding the Fourth Proportional to 734.06, 1,013.01 and 472.23

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Solution

The fourth proportional to 734.06, 1,013.01 and 472.23 is: 651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.06 : 1,013.01 = 472.23 : x
  2. Step 2: Convert to fraction form
    734.06/1,013.01 = 472.23/x
  3. Step 3: Cross multiply
    734.06x = 1,013.01 × 472.23
  4. Step 4: Simplify right side
    734.06x = 478,371.94
  5. Step 5: Solve for x
    x = 478,371.94/734.06
  6. Step 6: Final answer
    x = 651.68

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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.