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Finding the Fourth Proportional to 852.20, 1,275.54 and 440.76

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Solution

The fourth proportional to 852.20, 1,275.54 and 440.76 is: 659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.20 : 1,275.54 = 440.76 : x
  2. Step 2: Convert to fraction form
    852.20/1,275.54 = 440.76/x
  3. Step 3: Cross multiply
    852.20x = 1,275.54 × 440.76
  4. Step 4: Simplify right side
    852.20x = 562,207.01
  5. Step 5: Solve for x
    x = 562,207.01/852.20
  6. Step 6: Final answer
    x = 659.71

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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.