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Finding the Fourth Proportional to 1,321.48, 1,980.79 and 859.59

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Solution

The fourth proportional to 1,321.48, 1,980.79 and 859.59 is: 1,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.48 : 1,980.79 = 859.59 : x
  2. Step 2: Convert to fraction form
    1,321.48/1,980.79 = 859.59/x
  3. Step 3: Cross multiply
    1,321.48x = 1,980.79 × 859.59
  4. Step 4: Simplify right side
    1,321.48x = 1,702,667.28
  5. Step 5: Solve for x
    x = 1,702,667.28/1,321.48
  6. Step 6: Final answer
    x = 1,288.45

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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.