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Finding the Fourth Proportional to 838.98, 1,157.34 and 507.24

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Solution

The fourth proportional to 838.98, 1,157.34 and 507.24 is: 699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.98 : 1,157.34 = 507.24 : x
  2. Step 2: Convert to fraction form
    838.98/1,157.34 = 507.24/x
  3. Step 3: Cross multiply
    838.98x = 1,157.34 × 507.24
  4. Step 4: Simplify right side
    838.98x = 587,049.14
  5. Step 5: Solve for x
    x = 587,049.14/838.98
  6. Step 6: Final answer
    x = 699.72

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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.