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Finding the Fourth Proportional to 850.65, 1,275.91 and 433.78

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Solution

The fourth proportional to 850.65, 1,275.91 and 433.78 is: 650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.65 : 1,275.91 = 433.78 : x
  2. Step 2: Convert to fraction form
    850.65/1,275.91 = 433.78/x
  3. Step 3: Cross multiply
    850.65x = 1,275.91 × 433.78
  4. Step 4: Simplify right side
    850.65x = 553,464.75
  5. Step 5: Solve for x
    x = 553,464.75/850.65
  6. Step 6: Final answer
    x = 650.64

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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.