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Finding the Fourth Proportional to 1,229.58, 1,695.33 and 1,071.64

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Solution

The fourth proportional to 1,229.58, 1,695.33 and 1,071.64 is: 1,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.58 : 1,695.33 = 1,071.64 : x
  2. Step 2: Convert to fraction form
    1,229.58/1,695.33 = 1,071.64/x
  3. Step 3: Cross multiply
    1,229.58x = 1,695.33 × 1,071.64
  4. Step 4: Simplify right side
    1,229.58x = 1,816,783.44
  5. Step 5: Solve for x
    x = 1,816,783.44/1,229.58
  6. Step 6: Final answer
    x = 1,477.56

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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.