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Finding the Fourth Proportional to 749.82, 1,034.31 and 455.05

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Solution

The fourth proportional to 749.82, 1,034.31 and 455.05 is: 627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.82 : 1,034.31 = 455.05 : x
  2. Step 2: Convert to fraction form
    749.82/1,034.31 = 455.05/x
  3. Step 3: Cross multiply
    749.82x = 1,034.31 × 455.05
  4. Step 4: Simplify right side
    749.82x = 470,662.77
  5. Step 5: Solve for x
    x = 470,662.77/749.82
  6. Step 6: Final answer
    x = 627.70

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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.