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Finding the Fourth Proportional to 1,123.07, 1,683.60 and 537.71

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Solution

The fourth proportional to 1,123.07, 1,683.60 and 537.71 is: 806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.07 : 1,683.60 = 537.71 : x
  2. Step 2: Convert to fraction form
    1,123.07/1,683.60 = 537.71/x
  3. Step 3: Cross multiply
    1,123.07x = 1,683.60 × 537.71
  4. Step 4: Simplify right side
    1,123.07x = 905,288.56
  5. Step 5: Solve for x
    x = 905,288.56/1,123.07
  6. Step 6: Final answer
    x = 806.08

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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.