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Finding the Fourth Proportional to 734.13, 1,012.91 and 454.32

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Solution

The fourth proportional to 734.13, 1,012.91 and 454.32 is: 626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.13 : 1,012.91 = 454.32 : x
  2. Step 2: Convert to fraction form
    734.13/1,012.91 = 454.32/x
  3. Step 3: Cross multiply
    734.13x = 1,012.91 × 454.32
  4. Step 4: Simplify right side
    734.13x = 460,183.00
  5. Step 5: Solve for x
    x = 460,183.00/734.13
  6. Step 6: Final answer
    x = 626.84

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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.