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Finding the Fourth Proportional to 1,122.23, 1,684.07 and 505.90

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Solution

The fourth proportional to 1,122.23, 1,684.07 and 505.90 is: 759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.23 : 1,684.07 = 505.90 : x
  2. Step 2: Convert to fraction form
    1,122.23/1,684.07 = 505.90/x
  3. Step 3: Cross multiply
    1,122.23x = 1,684.07 × 505.90
  4. Step 4: Simplify right side
    1,122.23x = 851,964.08
  5. Step 5: Solve for x
    x = 851,964.08/1,122.23
  6. Step 6: Final answer
    x = 759.17

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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.