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Finding the Fourth Proportional to 744.90, 1,027.82 and 446.06

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Solution

The fourth proportional to 744.90, 1,027.82 and 446.06 is: 615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.90 : 1,027.82 = 446.06 : x
  2. Step 2: Convert to fraction form
    744.90/1,027.82 = 446.06/x
  3. Step 3: Cross multiply
    744.90x = 1,027.82 × 446.06
  4. Step 4: Simplify right side
    744.90x = 458,462.02
  5. Step 5: Solve for x
    x = 458,462.02/744.90
  6. Step 6: Final answer
    x = 615.47

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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.