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Finding the Fourth Proportional to 1,034.82, 1,559.23 and 856.21

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Solution

The fourth proportional to 1,034.82, 1,559.23 and 856.21 is: 1,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.82 : 1,559.23 = 856.21 : x
  2. Step 2: Convert to fraction form
    1,034.82/1,559.23 = 856.21/x
  3. Step 3: Cross multiply
    1,034.82x = 1,559.23 × 856.21
  4. Step 4: Simplify right side
    1,034.82x = 1,335,028.32
  5. Step 5: Solve for x
    x = 1,335,028.32/1,034.82
  6. Step 6: Final answer
    x = 1,290.11

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Why These Related Problems?

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