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Finding the Fourth Proportional to 1,380.28, 2,071.62 and 650.28

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Solution

The fourth proportional to 1,380.28, 2,071.62 and 650.28 is: 975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.28 : 2,071.62 = 650.28 : x
  2. Step 2: Convert to fraction form
    1,380.28/2,071.62 = 650.28/x
  3. Step 3: Cross multiply
    1,380.28x = 2,071.62 × 650.28
  4. Step 4: Simplify right side
    1,380.28x = 1,347,133.05
  5. Step 5: Solve for x
    x = 1,347,133.05/1,380.28
  6. Step 6: Final answer
    x = 975.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.