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Finding the Fourth Proportional to 1,448.37, 2,170.62 and 790.55

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Solution

The fourth proportional to 1,448.37, 2,170.62 and 790.55 is: 1,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.37 : 2,170.62 = 790.55 : x
  2. Step 2: Convert to fraction form
    1,448.37/2,170.62 = 790.55/x
  3. Step 3: Cross multiply
    1,448.37x = 2,170.62 × 790.55
  4. Step 4: Simplify right side
    1,448.37x = 1,715,972.79
  5. Step 5: Solve for x
    x = 1,715,972.79/1,448.37
  6. Step 6: Final answer
    x = 1,184.76

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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.