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Finding the Fourth Proportional to 937.82, 1,406.70 and 424.82

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Solution

The fourth proportional to 937.82, 1,406.70 and 424.82 is: 637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.82 : 1,406.70 = 424.82 : x
  2. Step 2: Convert to fraction form
    937.82/1,406.70 = 424.82/x
  3. Step 3: Cross multiply
    937.82x = 1,406.70 × 424.82
  4. Step 4: Simplify right side
    937.82x = 597,594.29
  5. Step 5: Solve for x
    x = 597,594.29/937.82
  6. Step 6: Final answer
    x = 637.22

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