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Finding the Fourth Proportional to 838.58, 1,157.27 and 506.94

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Solution

The fourth proportional to 838.58, 1,157.27 and 506.94 is: 699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.58 : 1,157.27 = 506.94 : x
  2. Step 2: Convert to fraction form
    838.58/1,157.27 = 506.94/x
  3. Step 3: Cross multiply
    838.58x = 1,157.27 × 506.94
  4. Step 4: Simplify right side
    838.58x = 586,667.72
  5. Step 5: Solve for x
    x = 586,667.72/838.58
  6. Step 6: Final answer
    x = 699.60

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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.