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Finding the Fourth Proportional to 1,071.63, 1,468.94 and 1,057.05

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Solution

The fourth proportional to 1,071.63, 1,468.94 and 1,057.05 is: 1,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.63 : 1,468.94 = 1,057.05 : x
  2. Step 2: Convert to fraction form
    1,071.63/1,468.94 = 1,057.05/x
  3. Step 3: Cross multiply
    1,071.63x = 1,468.94 × 1,057.05
  4. Step 4: Simplify right side
    1,071.63x = 1,552,737.74
  5. Step 5: Solve for x
    x = 1,552,737.74/1,071.63
  6. Step 6: Final answer
    x = 1,448.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.