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Finding the Fourth Proportional to 886.44, 1,330.07 and 453.63

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Solution

The fourth proportional to 886.44, 1,330.07 and 453.63 is: 680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.44 : 1,330.07 = 453.63 : x
  2. Step 2: Convert to fraction form
    886.44/1,330.07 = 453.63/x
  3. Step 3: Cross multiply
    886.44x = 1,330.07 × 453.63
  4. Step 4: Simplify right side
    886.44x = 603,357.39
  5. Step 5: Solve for x
    x = 603,357.39/886.44
  6. Step 6: Final answer
    x = 680.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.