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Finding the Fourth Proportional to 838.02, 1,156.11 and 506.46

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Solution

The fourth proportional to 838.02, 1,156.11 and 506.46 is: 698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.02 : 1,156.11 = 506.46 : x
  2. Step 2: Convert to fraction form
    838.02/1,156.11 = 506.46/x
  3. Step 3: Cross multiply
    838.02x = 1,156.11 × 506.46
  4. Step 4: Simplify right side
    838.02x = 585,523.47
  5. Step 5: Solve for x
    x = 585,523.47/838.02
  6. Step 6: Final answer
    x = 698.70

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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.