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Finding the Fourth Proportional to 1,040.90, 1,560.83 and 347.33

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Solution

The fourth proportional to 1,040.90, 1,560.83 and 347.33 is: 520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.90 : 1,560.83 = 347.33 : x
  2. Step 2: Convert to fraction form
    1,040.90/1,560.83 = 347.33/x
  3. Step 3: Cross multiply
    1,040.90x = 1,560.83 × 347.33
  4. Step 4: Simplify right side
    1,040.90x = 542,113.54
  5. Step 5: Solve for x
    x = 542,113.54/1,040.90
  6. Step 6: Final answer
    x = 520.81

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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.