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Finding the Fourth Proportional to 1,123.48, 1,684.92 and 393

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Solution

The fourth proportional to 1,123.48, 1,684.92 and 393 is: 589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.48 : 1,684.92 = 393 : x
  2. Step 2: Convert to fraction form
    1,123.48/1,684.92 = 393/x
  3. Step 3: Cross multiply
    1,123.48x = 1,684.92 × 393
  4. Step 4: Simplify right side
    1,123.48x = 662,173.56
  5. Step 5: Solve for x
    x = 662,173.56/1,123.48
  6. Step 6: Final answer
    x = 589.40

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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.