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Finding the Fourth Proportional to 889.35, 1,330.99 and 816.45

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Solution

The fourth proportional to 889.35, 1,330.99 and 816.45 is: 1,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.35 : 1,330.99 = 816.45 : x
  2. Step 2: Convert to fraction form
    889.35/1,330.99 = 816.45/x
  3. Step 3: Cross multiply
    889.35x = 1,330.99 × 816.45
  4. Step 4: Simplify right side
    889.35x = 1,086,684.74
  5. Step 5: Solve for x
    x = 1,086,684.74/889.35
  6. Step 6: Final answer
    x = 1,221.89

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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.