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Finding the Fourth Proportional to 852.67, 1,277.85 and 440.94

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Solution

The fourth proportional to 852.67, 1,277.85 and 440.94 is: 660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.67 : 1,277.85 = 440.94 : x
  2. Step 2: Convert to fraction form
    852.67/1,277.85 = 440.94/x
  3. Step 3: Cross multiply
    852.67x = 1,277.85 × 440.94
  4. Step 4: Simplify right side
    852.67x = 563,455.18
  5. Step 5: Solve for x
    x = 563,455.18/852.67
  6. Step 6: Final answer
    x = 660.82

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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.