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Finding the Fourth Proportional to 850.86, 1,275.66 and 412.10

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Solution

The fourth proportional to 850.86, 1,275.66 and 412.10 is: 617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.86 : 1,275.66 = 412.10 : x
  2. Step 2: Convert to fraction form
    850.86/1,275.66 = 412.10/x
  3. Step 3: Cross multiply
    850.86x = 1,275.66 × 412.10
  4. Step 4: Simplify right side
    850.86x = 525,699.49
  5. Step 5: Solve for x
    x = 525,699.49/850.86
  6. Step 6: Final answer
    x = 617.84

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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.