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Finding the Fourth Proportional to 1,072.18, 1,606.72 and 455.55

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Solution

The fourth proportional to 1,072.18, 1,606.72 and 455.55 is: 682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.18 : 1,606.72 = 455.55 : x
  2. Step 2: Convert to fraction form
    1,072.18/1,606.72 = 455.55/x
  3. Step 3: Cross multiply
    1,072.18x = 1,606.72 × 455.55
  4. Step 4: Simplify right side
    1,072.18x = 731,941.30
  5. Step 5: Solve for x
    x = 731,941.30/1,072.18
  6. Step 6: Final answer
    x = 682.67

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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.