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Finding the Fourth Proportional to 1,172.25, 1,758.76 and 821.22

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Solution

The fourth proportional to 1,172.25, 1,758.76 and 821.22 is: 1,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.25 : 1,758.76 = 821.22 : x
  2. Step 2: Convert to fraction form
    1,172.25/1,758.76 = 821.22/x
  3. Step 3: Cross multiply
    1,172.25x = 1,758.76 × 821.22
  4. Step 4: Simplify right side
    1,172.25x = 1,444,326.83
  5. Step 5: Solve for x
    x = 1,444,326.83/1,172.25
  6. Step 6: Final answer
    x = 1,232.10

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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.