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Finding the Fourth Proportional to 1,123.09, 1,684.17 and 392.49

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Solution

The fourth proportional to 1,123.09, 1,684.17 and 392.49 is: 588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.09 : 1,684.17 = 392.49 : x
  2. Step 2: Convert to fraction form
    1,123.09/1,684.17 = 392.49/x
  3. Step 3: Cross multiply
    1,123.09x = 1,684.17 × 392.49
  4. Step 4: Simplify right side
    1,123.09x = 661,019.88
  5. Step 5: Solve for x
    x = 661,019.88/1,123.09
  6. Step 6: Final answer
    x = 588.57

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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.