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Finding the Fourth Proportional to 1,439.14, 2,159.67 and 790.33

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Solution

The fourth proportional to 1,439.14, 2,159.67 and 790.33 is: 1,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.14 : 2,159.67 = 790.33 : x
  2. Step 2: Convert to fraction form
    1,439.14/2,159.67 = 790.33/x
  3. Step 3: Cross multiply
    1,439.14x = 2,159.67 × 790.33
  4. Step 4: Simplify right side
    1,439.14x = 1,706,851.99
  5. Step 5: Solve for x
    x = 1,706,851.99/1,439.14
  6. Step 6: Final answer
    x = 1,186.02

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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.