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Finding the Fourth Proportional to 734.06, 1,013.11 and 454.41

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Solution

The fourth proportional to 734.06, 1,013.11 and 454.41 is: 627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.06 : 1,013.11 = 454.41 : x
  2. Step 2: Convert to fraction form
    734.06/1,013.11 = 454.41/x
  3. Step 3: Cross multiply
    734.06x = 1,013.11 × 454.41
  4. Step 4: Simplify right side
    734.06x = 460,366.18
  5. Step 5: Solve for x
    x = 460,366.18/734.06
  6. Step 6: Final answer
    x = 627.15

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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.