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Finding the Fourth Proportional to 1,122.58, 1,683.32 and 392.05

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Solution

The fourth proportional to 1,122.58, 1,683.32 and 392.05 is: 587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.58 : 1,683.32 = 392.05 : x
  2. Step 2: Convert to fraction form
    1,122.58/1,683.32 = 392.05/x
  3. Step 3: Cross multiply
    1,122.58x = 1,683.32 × 392.05
  4. Step 4: Simplify right side
    1,122.58x = 659,939.44
  5. Step 5: Solve for x
    x = 659,939.44/1,122.58
  6. Step 6: Final answer
    x = 587.88

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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.