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Finding the Fourth Proportional to 850.02, 1,275.16 and 387.80

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Solution

The fourth proportional to 850.02, 1,275.16 and 387.80 is: 581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.02 : 1,275.16 = 387.80 : x
  2. Step 2: Convert to fraction form
    850.02/1,275.16 = 387.80/x
  3. Step 3: Cross multiply
    850.02x = 1,275.16 × 387.80
  4. Step 4: Simplify right side
    850.02x = 494,507.05
  5. Step 5: Solve for x
    x = 494,507.05/850.02
  6. Step 6: Final answer
    x = 581.76

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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.