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Finding the Fourth Proportional to 1,479.83, 2,041.91 and 850.13

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Solution

The fourth proportional to 1,479.83, 2,041.91 and 850.13 is: 1,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.83 : 2,041.91 = 850.13 : x
  2. Step 2: Convert to fraction form
    1,479.83/2,041.91 = 850.13/x
  3. Step 3: Cross multiply
    1,479.83x = 2,041.91 × 850.13
  4. Step 4: Simplify right side
    1,479.83x = 1,735,885.33
  5. Step 5: Solve for x
    x = 1,735,885.33/1,479.83
  6. Step 6: Final answer
    x = 1,173.03

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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.