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Finding the Fourth Proportional to 1,040.90, 1,561.56 and 310.46

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Solution

The fourth proportional to 1,040.90, 1,561.56 and 310.46 is: 465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.90 : 1,561.56 = 310.46 : x
  2. Step 2: Convert to fraction form
    1,040.90/1,561.56 = 310.46/x
  3. Step 3: Cross multiply
    1,040.90x = 1,561.56 × 310.46
  4. Step 4: Simplify right side
    1,040.90x = 484,800.37
  5. Step 5: Solve for x
    x = 484,800.37/1,040.90
  6. Step 6: Final answer
    x = 465.75

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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.