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Finding the Fourth Proportional to 1,068.08, 1,471.80 and 694.64

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Solution

The fourth proportional to 1,068.08, 1,471.80 and 694.64 is: 957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.08 : 1,471.80 = 694.64 : x
  2. Step 2: Convert to fraction form
    1,068.08/1,471.80 = 694.64/x
  3. Step 3: Cross multiply
    1,068.08x = 1,471.80 × 694.64
  4. Step 4: Simplify right side
    1,068.08x = 1,022,371.15
  5. Step 5: Solve for x
    x = 1,022,371.15/1,068.08
  6. Step 6: Final answer
    x = 957.20

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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.