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Finding the Fourth Proportional to 1,291.41, 1,782.56 and 825.66

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Solution

The fourth proportional to 1,291.41, 1,782.56 and 825.66 is: 1,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.41 : 1,782.56 = 825.66 : x
  2. Step 2: Convert to fraction form
    1,291.41/1,782.56 = 825.66/x
  3. Step 3: Cross multiply
    1,291.41x = 1,782.56 × 825.66
  4. Step 4: Simplify right side
    1,291.41x = 1,471,784.36
  5. Step 5: Solve for x
    x = 1,471,784.36/1,291.41
  6. Step 6: Final answer
    x = 1,139.67

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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.