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Finding the Fourth Proportional to 1,406.33, 1,940.74 and 785.33

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Solution

The fourth proportional to 1,406.33, 1,940.74 and 785.33 is: 1,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.33 : 1,940.74 = 785.33 : x
  2. Step 2: Convert to fraction form
    1,406.33/1,940.74 = 785.33/x
  3. Step 3: Cross multiply
    1,406.33x = 1,940.74 × 785.33
  4. Step 4: Simplify right side
    1,406.33x = 1,524,117.42
  5. Step 5: Solve for x
    x = 1,524,117.42/1,406.33
  6. Step 6: Final answer
    x = 1,083.76

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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.