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Finding the Fourth Proportional to 838.42, 1,157.16 and 506.87

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Solution

The fourth proportional to 838.42, 1,157.16 and 506.87 is: 699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.42 : 1,157.16 = 506.87 : x
  2. Step 2: Convert to fraction form
    838.42/1,157.16 = 506.87/x
  3. Step 3: Cross multiply
    838.42x = 1,157.16 × 506.87
  4. Step 4: Simplify right side
    838.42x = 586,532.58
  5. Step 5: Solve for x
    x = 586,532.58/838.42
  6. Step 6: Final answer
    x = 699.57

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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.