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Finding the Fourth Proportional to 1,123.70, 1,683.11 and 711.81

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Solution

The fourth proportional to 1,123.70, 1,683.11 and 711.81 is: 1,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.70 : 1,683.11 = 711.81 : x
  2. Step 2: Convert to fraction form
    1,123.70/1,683.11 = 711.81/x
  3. Step 3: Cross multiply
    1,123.70x = 1,683.11 × 711.81
  4. Step 4: Simplify right side
    1,123.70x = 1,198,056.31
  5. Step 5: Solve for x
    x = 1,198,056.31/1,123.70
  6. Step 6: Final answer
    x = 1,066.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.