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Finding the Fourth Proportional to 838.34, 1,156.83 and 506.64

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Solution

The fourth proportional to 838.34, 1,156.83 and 506.64 is: 699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.34 : 1,156.83 = 506.64 : x
  2. Step 2: Convert to fraction form
    838.34/1,156.83 = 506.64/x
  3. Step 3: Cross multiply
    838.34x = 1,156.83 × 506.64
  4. Step 4: Simplify right side
    838.34x = 586,096.35
  5. Step 5: Solve for x
    x = 586,096.35/838.34
  6. Step 6: Final answer
    x = 699.12

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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.