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Finding the Fourth Proportional to 851.01, 1,276.65 and 273.75

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Solution

The fourth proportional to 851.01, 1,276.65 and 273.75 is: 410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.01 : 1,276.65 = 273.75 : x
  2. Step 2: Convert to fraction form
    851.01/1,276.65 = 273.75/x
  3. Step 3: Cross multiply
    851.01x = 1,276.65 × 273.75
  4. Step 4: Simplify right side
    851.01x = 349,482.94
  5. Step 5: Solve for x
    x = 349,482.94/851.01
  6. Step 6: Final answer
    x = 410.67

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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.