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Finding the Fourth Proportional to 838.75, 1,157.29 and 507.17

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Solution

The fourth proportional to 838.75, 1,157.29 and 507.17 is: 699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.75 : 1,157.29 = 507.17 : x
  2. Step 2: Convert to fraction form
    838.75/1,157.29 = 507.17/x
  3. Step 3: Cross multiply
    838.75x = 1,157.29 × 507.17
  4. Step 4: Simplify right side
    838.75x = 586,943.11
  5. Step 5: Solve for x
    x = 586,943.11/838.75
  6. Step 6: Final answer
    x = 699.78

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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.