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Finding the Fourth Proportional to 1,123.14, 1,685.32 and 393.24

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Solution

The fourth proportional to 1,123.14, 1,685.32 and 393.24 is: 590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.14 : 1,685.32 = 393.24 : x
  2. Step 2: Convert to fraction form
    1,123.14/1,685.32 = 393.24/x
  3. Step 3: Cross multiply
    1,123.14x = 1,685.32 × 393.24
  4. Step 4: Simplify right side
    1,123.14x = 662,735.24
  5. Step 5: Solve for x
    x = 662,735.24/1,123.14
  6. Step 6: Final answer
    x = 590.07

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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.