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Finding the Fourth Proportional to 838.59, 1,157.24 and 506.90

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Solution

The fourth proportional to 838.59, 1,157.24 and 506.90 is: 699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.59 : 1,157.24 = 506.90 : x
  2. Step 2: Convert to fraction form
    838.59/1,157.24 = 506.90/x
  3. Step 3: Cross multiply
    838.59x = 1,157.24 × 506.90
  4. Step 4: Simplify right side
    838.59x = 586,596.64
  5. Step 5: Solve for x
    x = 586,596.64/838.59
  6. Step 6: Final answer
    x = 699.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.