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Finding the Fourth Proportional to 850.12, 1,275.74 and 465.64

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Solution

The fourth proportional to 850.12, 1,275.74 and 465.64 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.12 : 1,275.74 = 465.64 : x
  2. Step 2: Convert to fraction form
    850.12/1,275.74 = 465.64/x
  3. Step 3: Cross multiply
    850.12x = 1,275.74 × 465.64
  4. Step 4: Simplify right side
    850.12x = 594,035.57
  5. Step 5: Solve for x
    x = 594,035.57/850.12
  6. Step 6: Final answer
    x = 698.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.