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Finding the Fourth Proportional to 1,122.69, 1,684.19 and 392.28

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Solution

The fourth proportional to 1,122.69, 1,684.19 and 392.28 is: 588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.69 : 1,684.19 = 392.28 : x
  2. Step 2: Convert to fraction form
    1,122.69/1,684.19 = 392.28/x
  3. Step 3: Cross multiply
    1,122.69x = 1,684.19 × 392.28
  4. Step 4: Simplify right side
    1,122.69x = 660,668.72
  5. Step 5: Solve for x
    x = 660,668.72/1,122.69
  6. Step 6: Final answer
    x = 588.47

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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.