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Finding the Fourth Proportional to 889.61, 1,335.02 and 427.70

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Solution

The fourth proportional to 889.61, 1,335.02 and 427.70 is: 641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.61 : 1,335.02 = 427.70 : x
  2. Step 2: Convert to fraction form
    889.61/1,335.02 = 427.70/x
  3. Step 3: Cross multiply
    889.61x = 1,335.02 × 427.70
  4. Step 4: Simplify right side
    889.61x = 570,989.25
  5. Step 5: Solve for x
    x = 570,989.25/889.61
  6. Step 6: Final answer
    x = 641.85

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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.