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Finding the Fourth Proportional to 1,172.06, 1,758.76 and 441.61

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Solution

The fourth proportional to 1,172.06, 1,758.76 and 441.61 is: 662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.06 : 1,758.76 = 441.61 : x
  2. Step 2: Convert to fraction form
    1,172.06/1,758.76 = 441.61/x
  3. Step 3: Cross multiply
    1,172.06x = 1,758.76 × 441.61
  4. Step 4: Simplify right side
    1,172.06x = 776,686.00
  5. Step 5: Solve for x
    x = 776,686.00/1,172.06
  6. Step 6: Final answer
    x = 662.67

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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.