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Finding the Fourth Proportional to 1,406.06, 1,940.44 and 816.38

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Solution

The fourth proportional to 1,406.06, 1,940.44 and 816.38 is: 1,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.06 : 1,940.44 = 816.38 : x
  2. Step 2: Convert to fraction form
    1,406.06/1,940.44 = 816.38/x
  3. Step 3: Cross multiply
    1,406.06x = 1,940.44 × 816.38
  4. Step 4: Simplify right side
    1,406.06x = 1,584,136.41
  5. Step 5: Solve for x
    x = 1,584,136.41/1,406.06
  6. Step 6: Final answer
    x = 1,126.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.