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Finding the Fourth Proportional to 1,134.20, 1,698.00 and 861.37

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Solution

The fourth proportional to 1,134.20, 1,698.00 and 861.37 is: 1,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.20 : 1,698.00 = 861.37 : x
  2. Step 2: Convert to fraction form
    1,134.20/1,698.00 = 861.37/x
  3. Step 3: Cross multiply
    1,134.20x = 1,698.00 × 861.37
  4. Step 4: Simplify right side
    1,134.20x = 1,462,598.78
  5. Step 5: Solve for x
    x = 1,462,598.78/1,134.20
  6. Step 6: Final answer
    x = 1,289.54

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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.