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Finding the Fourth Proportional to 838.47, 1,157.21 and 506.95

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Solution

The fourth proportional to 838.47, 1,157.21 and 506.95 is: 699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.47 : 1,157.21 = 506.95 : x
  2. Step 2: Convert to fraction form
    838.47/1,157.21 = 506.95/x
  3. Step 3: Cross multiply
    838.47x = 1,157.21 × 506.95
  4. Step 4: Simplify right side
    838.47x = 586,647.61
  5. Step 5: Solve for x
    x = 586,647.61/838.47
  6. Step 6: Final answer
    x = 699.66

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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.