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Finding the Fourth Proportional to 1,123.05, 1,685.07 and 393.15

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Solution

The fourth proportional to 1,123.05, 1,685.07 and 393.15 is: 589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.05 : 1,685.07 = 393.15 : x
  2. Step 2: Convert to fraction form
    1,123.05/1,685.07 = 393.15/x
  3. Step 3: Cross multiply
    1,123.05x = 1,685.07 × 393.15
  4. Step 4: Simplify right side
    1,123.05x = 662,485.27
  5. Step 5: Solve for x
    x = 662,485.27/1,123.05
  6. Step 6: Final answer
    x = 589.90

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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.