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Finding the Fourth Proportional to 838.74, 1,157.25 and 507.18

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Solution

The fourth proportional to 838.74, 1,157.25 and 507.18 is: 699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.74 : 1,157.25 = 507.18 : x
  2. Step 2: Convert to fraction form
    838.74/1,157.25 = 507.18/x
  3. Step 3: Cross multiply
    838.74x = 1,157.25 × 507.18
  4. Step 4: Simplify right side
    838.74x = 586,934.06
  5. Step 5: Solve for x
    x = 586,934.06/838.74
  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.