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Finding the Fourth Proportional to 1,105.43, 1,525.48 and 601.28

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Solution

The fourth proportional to 1,105.43, 1,525.48 and 601.28 is: 829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.43 : 1,525.48 = 601.28 : x
  2. Step 2: Convert to fraction form
    1,105.43/1,525.48 = 601.28/x
  3. Step 3: Cross multiply
    1,105.43x = 1,525.48 × 601.28
  4. Step 4: Simplify right side
    1,105.43x = 917,240.61
  5. Step 5: Solve for x
    x = 917,240.61/1,105.43
  6. Step 6: Final answer
    x = 829.76

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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.