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Finding the Fourth Proportional to 1,326.79, 1,989.10 and 556.75

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Solution

The fourth proportional to 1,326.79, 1,989.10 and 556.75 is: 834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.79 : 1,989.10 = 556.75 : x
  2. Step 2: Convert to fraction form
    1,326.79/1,989.10 = 556.75/x
  3. Step 3: Cross multiply
    1,326.79x = 1,989.10 × 556.75
  4. Step 4: Simplify right side
    1,326.79x = 1,107,431.43
  5. Step 5: Solve for x
    x = 1,107,431.43/1,326.79
  6. Step 6: Final answer
    x = 834.67

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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.