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Finding the Fourth Proportional to 1,123.02, 1,684.29 and 711.63

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Solution

The fourth proportional to 1,123.02, 1,684.29 and 711.63 is: 1,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.02 : 1,684.29 = 711.63 : x
  2. Step 2: Convert to fraction form
    1,123.02/1,684.29 = 711.63/x
  3. Step 3: Cross multiply
    1,123.02x = 1,684.29 × 711.63
  4. Step 4: Simplify right side
    1,123.02x = 1,198,591.29
  5. Step 5: Solve for x
    x = 1,198,591.29/1,123.02
  6. Step 6: Final answer
    x = 1,067.29

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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.