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Finding the Fourth Proportional to 937.84, 1,406.04 and 567.56

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Solution

The fourth proportional to 937.84, 1,406.04 and 567.56 is: 850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.84 : 1,406.04 = 567.56 : x
  2. Step 2: Convert to fraction form
    937.84/1,406.04 = 567.56/x
  3. Step 3: Cross multiply
    937.84x = 1,406.04 × 567.56
  4. Step 4: Simplify right side
    937.84x = 798,012.06
  5. Step 5: Solve for x
    x = 798,012.06/937.84
  6. Step 6: Final answer
    x = 850.90

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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.