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Finding the Fourth Proportional to 1,025.47, 1,415.25 and 605.96

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Solution

The fourth proportional to 1,025.47, 1,415.25 and 605.96 is: 836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.47 : 1,415.25 = 605.96 : x
  2. Step 2: Convert to fraction form
    1,025.47/1,415.25 = 605.96/x
  3. Step 3: Cross multiply
    1,025.47x = 1,415.25 × 605.96
  4. Step 4: Simplify right side
    1,025.47x = 857,584.89
  5. Step 5: Solve for x
    x = 857,584.89/1,025.47
  6. Step 6: Final answer
    x = 836.28

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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.