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Finding the Fourth Proportional to 1,026.56, 1,540.10 and 368.41

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Solution

The fourth proportional to 1,026.56, 1,540.10 and 368.41 is: 552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.56 : 1,540.10 = 368.41 : x
  2. Step 2: Convert to fraction form
    1,026.56/1,540.10 = 368.41/x
  3. Step 3: Cross multiply
    1,026.56x = 1,540.10 × 368.41
  4. Step 4: Simplify right side
    1,026.56x = 567,380.54
  5. Step 5: Solve for x
    x = 567,380.54/1,026.56
  6. Step 6: Final answer
    x = 552.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.