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Finding the Fourth Proportional to 1,069.34, 1,473.39 and 774.09

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Solution

The fourth proportional to 1,069.34, 1,473.39 and 774.09 is: 1,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.34 : 1,473.39 = 774.09 : x
  2. Step 2: Convert to fraction form
    1,069.34/1,473.39 = 774.09/x
  3. Step 3: Cross multiply
    1,069.34x = 1,473.39 × 774.09
  4. Step 4: Simplify right side
    1,069.34x = 1,140,536.47
  5. Step 5: Solve for x
    x = 1,140,536.47/1,069.34
  6. Step 6: Final answer
    x = 1,066.58

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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.