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Finding the Fourth Proportional to 1,309.37, 1,959.11 and 780.32

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Solution

The fourth proportional to 1,309.37, 1,959.11 and 780.32 is: 1,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.37 : 1,959.11 = 780.32 : x
  2. Step 2: Convert to fraction form
    1,309.37/1,959.11 = 780.32/x
  3. Step 3: Cross multiply
    1,309.37x = 1,959.11 × 780.32
  4. Step 4: Simplify right side
    1,309.37x = 1,528,719.02
  5. Step 5: Solve for x
    x = 1,528,719.02/1,309.37
  6. Step 6: Final answer
    x = 1,167.53

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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.