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Finding the Fourth Proportional to 1,387.26, 2,080.44 and 462.55

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Solution

The fourth proportional to 1,387.26, 2,080.44 and 462.55 is: 693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.26 : 2,080.44 = 462.55 : x
  2. Step 2: Convert to fraction form
    1,387.26/2,080.44 = 462.55/x
  3. Step 3: Cross multiply
    1,387.26x = 2,080.44 × 462.55
  4. Step 4: Simplify right side
    1,387.26x = 962,302.32
  5. Step 5: Solve for x
    x = 962,302.32/1,387.26
  6. Step 6: Final answer
    x = 693.67

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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.