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Finding the Fourth Proportional to 1,479.50, 2,041.76 and 850.16

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Solution

The fourth proportional to 1,479.50, 2,041.76 and 850.16 is: 1,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.50 : 2,041.76 = 850.16 : x
  2. Step 2: Convert to fraction form
    1,479.50/2,041.76 = 850.16/x
  3. Step 3: Cross multiply
    1,479.50x = 2,041.76 × 850.16
  4. Step 4: Simplify right side
    1,479.50x = 1,735,819.21
  5. Step 5: Solve for x
    x = 1,735,819.21/1,479.50
  6. Step 6: Final answer
    x = 1,173.25

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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.