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Finding the Fourth Proportional to 851.93, 1,277.22 and 783.59

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Solution

The fourth proportional to 851.93, 1,277.22 and 783.59 is: 1,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.93 : 1,277.22 = 783.59 : x
  2. Step 2: Convert to fraction form
    851.93/1,277.22 = 783.59/x
  3. Step 3: Cross multiply
    851.93x = 1,277.22 × 783.59
  4. Step 4: Simplify right side
    851.93x = 1,000,820.01
  5. Step 5: Solve for x
    x = 1,000,820.01/851.93
  6. Step 6: Final answer
    x = 1,174.76

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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.