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Finding the Fourth Proportional to 889.48, 1,335.66 and 768.52

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Solution

The fourth proportional to 889.48, 1,335.66 and 768.52 is: 1,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.48 : 1,335.66 = 768.52 : x
  2. Step 2: Convert to fraction form
    889.48/1,335.66 = 768.52/x
  3. Step 3: Cross multiply
    889.48x = 1,335.66 × 768.52
  4. Step 4: Simplify right side
    889.48x = 1,026,481.42
  5. Step 5: Solve for x
    x = 1,026,481.42/889.48
  6. Step 6: Final answer
    x = 1,154.02

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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.