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Finding the Fourth Proportional to 749.22, 1,034.01 and 454.56

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Solution

The fourth proportional to 749.22, 1,034.01 and 454.56 is: 627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.22 : 1,034.01 = 454.56 : x
  2. Step 2: Convert to fraction form
    749.22/1,034.01 = 454.56/x
  3. Step 3: Cross multiply
    749.22x = 1,034.01 × 454.56
  4. Step 4: Simplify right side
    749.22x = 470,019.59
  5. Step 5: Solve for x
    x = 470,019.59/749.22
  6. Step 6: Final answer
    x = 627.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.