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Finding the Fourth Proportional to 1,034.26, 1,559.58 and 1,014.82

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Solution

The fourth proportional to 1,034.26, 1,559.58 and 1,014.82 is: 1,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.26 : 1,559.58 = 1,014.82 : x
  2. Step 2: Convert to fraction form
    1,034.26/1,559.58 = 1,014.82/x
  3. Step 3: Cross multiply
    1,034.26x = 1,559.58 × 1,014.82
  4. Step 4: Simplify right side
    1,034.26x = 1,582,692.98
  5. Step 5: Solve for x
    x = 1,582,692.98/1,034.26
  6. Step 6: Final answer
    x = 1,530.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.