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Finding the Fourth Proportional to 1,405.62, 2,106.90 and 674.28

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Solution

The fourth proportional to 1,405.62, 2,106.90 and 674.28 is: 1,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.62 : 2,106.90 = 674.28 : x
  2. Step 2: Convert to fraction form
    1,405.62/2,106.90 = 674.28/x
  3. Step 3: Cross multiply
    1,405.62x = 2,106.90 × 674.28
  4. Step 4: Simplify right side
    1,405.62x = 1,420,640.53
  5. Step 5: Solve for x
    x = 1,420,640.53/1,405.62
  6. Step 6: Final answer
    x = 1,010.69

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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.