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Finding the Fourth Proportional to 1,550.22, 2,324.80 and 716.95

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Solution

The fourth proportional to 1,550.22, 2,324.80 and 716.95 is: 1,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.22 : 2,324.80 = 716.95 : x
  2. Step 2: Convert to fraction form
    1,550.22/2,324.80 = 716.95/x
  3. Step 3: Cross multiply
    1,550.22x = 2,324.80 × 716.95
  4. Step 4: Simplify right side
    1,550.22x = 1,666,765.36
  5. Step 5: Solve for x
    x = 1,666,765.36/1,550.22
  6. Step 6: Final answer
    x = 1,075.18

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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.