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Finding the Fourth Proportional to 1,039.17, 1,559.31 and 692.69

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Solution

The fourth proportional to 1,039.17, 1,559.31 and 692.69 is: 1,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.17 : 1,559.31 = 692.69 : x
  2. Step 2: Convert to fraction form
    1,039.17/1,559.31 = 692.69/x
  3. Step 3: Cross multiply
    1,039.17x = 1,559.31 × 692.69
  4. Step 4: Simplify right side
    1,039.17x = 1,080,120.72
  5. Step 5: Solve for x
    x = 1,080,120.72/1,039.17
  6. Step 6: Final answer
    x = 1,039.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.