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Finding the Fourth Proportional to 889.58, 1,335.09 and 456.86

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Solution

The fourth proportional to 889.58, 1,335.09 and 456.86 is: 685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.58 : 1,335.09 = 456.86 : x
  2. Step 2: Convert to fraction form
    889.58/1,335.09 = 456.86/x
  3. Step 3: Cross multiply
    889.58x = 1,335.09 × 456.86
  4. Step 4: Simplify right side
    889.58x = 609,949.22
  5. Step 5: Solve for x
    x = 609,949.22/889.58
  6. Step 6: Final answer
    x = 685.66

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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.