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Finding the Fourth Proportional to 997.58, 1,494.72 and 347.96

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Solution

The fourth proportional to 997.58, 1,494.72 and 347.96 is: 521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.58 : 1,494.72 = 347.96 : x
  2. Step 2: Convert to fraction form
    997.58/1,494.72 = 347.96/x
  3. Step 3: Cross multiply
    997.58x = 1,494.72 × 347.96
  4. Step 4: Simplify right side
    997.58x = 520,102.77
  5. Step 5: Solve for x
    x = 520,102.77/997.58
  6. Step 6: Final answer
    x = 521.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.