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Finding the Fourth Proportional to 1,073.22, 1,480.97 and 601.10

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Solution

The fourth proportional to 1,073.22, 1,480.97 and 601.10 is: 829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.22 : 1,480.97 = 601.10 : x
  2. Step 2: Convert to fraction form
    1,073.22/1,480.97 = 601.10/x
  3. Step 3: Cross multiply
    1,073.22x = 1,480.97 × 601.10
  4. Step 4: Simplify right side
    1,073.22x = 890,211.07
  5. Step 5: Solve for x
    x = 890,211.07/1,073.22
  6. Step 6: Final answer
    x = 829.48

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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.