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Finding the Fourth Proportional to 1,104.54, 1,523.82 and 684.74

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Solution

The fourth proportional to 1,104.54, 1,523.82 and 684.74 is: 944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.54 : 1,523.82 = 684.74 : x
  2. Step 2: Convert to fraction form
    1,104.54/1,523.82 = 684.74/x
  3. Step 3: Cross multiply
    1,104.54x = 1,523.82 × 684.74
  4. Step 4: Simplify right side
    1,104.54x = 1,043,420.51
  5. Step 5: Solve for x
    x = 1,043,420.51/1,104.54
  6. Step 6: Final answer
    x = 944.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.