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Finding the Fourth Proportional to 890.02, 1,335.03 and 427.69

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Solution

The fourth proportional to 890.02, 1,335.03 and 427.69 is: 641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.02 : 1,335.03 = 427.69 : x
  2. Step 2: Convert to fraction form
    890.02/1,335.03 = 427.69/x
  3. Step 3: Cross multiply
    890.02x = 1,335.03 × 427.69
  4. Step 4: Simplify right side
    890.02x = 570,978.98
  5. Step 5: Solve for x
    x = 570,978.98/890.02
  6. Step 6: Final answer
    x = 641.54

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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.