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Finding the Fourth Proportional to 734.32, 1,013.57 and 454.60

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Solution

The fourth proportional to 734.32, 1,013.57 and 454.60 is: 627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.32 : 1,013.57 = 454.60 : x
  2. Step 2: Convert to fraction form
    734.32/1,013.57 = 454.60/x
  3. Step 3: Cross multiply
    734.32x = 1,013.57 × 454.60
  4. Step 4: Simplify right side
    734.32x = 460,768.92
  5. Step 5: Solve for x
    x = 460,768.92/734.32
  6. Step 6: Final answer
    x = 627.48

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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.