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Finding the Fourth Proportional to 889.44, 1,334.43 and 456.90

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Solution

The fourth proportional to 889.44, 1,334.43 and 456.90 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.44 : 1,334.43 = 456.90 : x
  2. Step 2: Convert to fraction form
    889.44/1,334.43 = 456.90/x
  3. Step 3: Cross multiply
    889.44x = 1,334.43 × 456.90
  4. Step 4: Simplify right side
    889.44x = 609,701.07
  5. Step 5: Solve for x
    x = 609,701.07/889.44
  6. Step 6: Final answer
    x = 685.49

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Why These Related Problems?

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