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Finding the Fourth Proportional to 943.96, 1,415.90 and 561.64

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Solution

The fourth proportional to 943.96, 1,415.90 and 561.64 is: 842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.96 : 1,415.90 = 561.64 : x
  2. Step 2: Convert to fraction form
    943.96/1,415.90 = 561.64/x
  3. Step 3: Cross multiply
    943.96x = 1,415.90 × 561.64
  4. Step 4: Simplify right side
    943.96x = 795,226.08
  5. Step 5: Solve for x
    x = 795,226.08/943.96
  6. Step 6: Final answer
    x = 842.44

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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.