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Finding the Fourth Proportional to 889.29, 1,334.52 and 456.48

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Solution

The fourth proportional to 889.29, 1,334.52 and 456.48 is: 685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.29 : 1,334.52 = 456.48 : x
  2. Step 2: Convert to fraction form
    889.29/1,334.52 = 456.48/x
  3. Step 3: Cross multiply
    889.29x = 1,334.52 × 456.48
  4. Step 4: Simplify right side
    889.29x = 609,181.69
  5. Step 5: Solve for x
    x = 609,181.69/889.29
  6. Step 6: Final answer
    x = 685.02

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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.