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Finding the Fourth Proportional to 1,400.90, 2,102.36 and 670.88

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Solution

The fourth proportional to 1,400.90, 2,102.36 and 670.88 is: 1,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.90 : 2,102.36 = 670.88 : x
  2. Step 2: Convert to fraction form
    1,400.90/2,102.36 = 670.88/x
  3. Step 3: Cross multiply
    1,400.90x = 2,102.36 × 670.88
  4. Step 4: Simplify right side
    1,400.90x = 1,410,433.18
  5. Step 5: Solve for x
    x = 1,410,433.18/1,400.90
  6. Step 6: Final answer
    x = 1,006.81

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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.