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Finding the Fourth Proportional to 850.32, 1,275.12 and 416.88

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Solution

The fourth proportional to 850.32, 1,275.12 and 416.88 is: 625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.32 : 1,275.12 = 416.88 : x
  2. Step 2: Convert to fraction form
    850.32/1,275.12 = 416.88/x
  3. Step 3: Cross multiply
    850.32x = 1,275.12 × 416.88
  4. Step 4: Simplify right side
    850.32x = 531,572.03
  5. Step 5: Solve for x
    x = 531,572.03/850.32
  6. Step 6: Final answer
    x = 625.14

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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.