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Finding the Fourth Proportional to 1,073.78, 1,481.63 and 601.59

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Solution

The fourth proportional to 1,073.78, 1,481.63 and 601.59 is: 830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.78 : 1,481.63 = 601.59 : x
  2. Step 2: Convert to fraction form
    1,073.78/1,481.63 = 601.59/x
  3. Step 3: Cross multiply
    1,073.78x = 1,481.63 × 601.59
  4. Step 4: Simplify right side
    1,073.78x = 891,333.79
  5. Step 5: Solve for x
    x = 891,333.79/1,073.78
  6. Step 6: Final answer
    x = 830.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.