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Finding the Fourth Proportional to 744.63, 1,027.06 and 460.96

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Solution

The fourth proportional to 744.63, 1,027.06 and 460.96 is: 635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.63 : 1,027.06 = 460.96 : x
  2. Step 2: Convert to fraction form
    744.63/1,027.06 = 460.96/x
  3. Step 3: Cross multiply
    744.63x = 1,027.06 × 460.96
  4. Step 4: Simplify right side
    744.63x = 473,429.38
  5. Step 5: Solve for x
    x = 473,429.38/744.63
  6. Step 6: Final answer
    x = 635.79

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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.