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Finding the Fourth Proportional to 1,073.55, 1,481.47 and 601.42

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Solution

The fourth proportional to 1,073.55, 1,481.47 and 601.42 is: 829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.55 : 1,481.47 = 601.42 : x
  2. Step 2: Convert to fraction form
    1,073.55/1,481.47 = 601.42/x
  3. Step 3: Cross multiply
    1,073.55x = 1,481.47 × 601.42
  4. Step 4: Simplify right side
    1,073.55x = 890,985.69
  5. Step 5: Solve for x
    x = 890,985.69/1,073.55
  6. Step 6: Final answer
    x = 829.94

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