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Finding the Fourth Proportional to 1,123.57, 1,682.16 and 892.79

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Solution

The fourth proportional to 1,123.57, 1,682.16 and 892.79 is: 1,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.57 : 1,682.16 = 892.79 : x
  2. Step 2: Convert to fraction form
    1,123.57/1,682.16 = 892.79/x
  3. Step 3: Cross multiply
    1,123.57x = 1,682.16 × 892.79
  4. Step 4: Simplify right side
    1,123.57x = 1,501,810.18
  5. Step 5: Solve for x
    x = 1,501,810.18/1,123.57
  6. Step 6: Final answer
    x = 1,336.64

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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.