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Finding the Fourth Proportional to 749.44, 1,034.24 and 454.64

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Solution

The fourth proportional to 749.44, 1,034.24 and 454.64 is: 627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.44 : 1,034.24 = 454.64 : x
  2. Step 2: Convert to fraction form
    749.44/1,034.24 = 454.64/x
  3. Step 3: Cross multiply
    749.44x = 1,034.24 × 454.64
  4. Step 4: Simplify right side
    749.44x = 470,206.87
  5. Step 5: Solve for x
    x = 470,206.87/749.44
  6. Step 6: Final answer
    x = 627.41

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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.