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Finding the Fourth Proportional to 851.94, 1,277.21 and 783.59

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Solution

The fourth proportional to 851.94, 1,277.21 and 783.59 is: 1,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.94 : 1,277.21 = 783.59 : x
  2. Step 2: Convert to fraction form
    851.94/1,277.21 = 783.59/x
  3. Step 3: Cross multiply
    851.94x = 1,277.21 × 783.59
  4. Step 4: Simplify right side
    851.94x = 1,000,804.56
  5. Step 5: Solve for x
    x = 1,000,804.56/851.94
  6. Step 6: Final answer
    x = 1,174.74

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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.