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Finding the Fourth Proportional to 838.82, 1,157.60 and 507.31

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Solution

The fourth proportional to 838.82, 1,157.60 and 507.31 is: 700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.82 : 1,157.60 = 507.31 : x
  2. Step 2: Convert to fraction form
    838.82/1,157.60 = 507.31/x
  3. Step 3: Cross multiply
    838.82x = 1,157.60 × 507.31
  4. Step 4: Simplify right side
    838.82x = 587,253.73
  5. Step 5: Solve for x
    x = 587,253.73/838.82
  6. Step 6: Final answer
    x = 700.10

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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.