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Finding the Fourth Proportional to 851.70, 1,277.75 and 462.09

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Solution

The fourth proportional to 851.70, 1,277.75 and 462.09 is: 693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.70 : 1,277.75 = 462.09 : x
  2. Step 2: Convert to fraction form
    851.70/1,277.75 = 462.09/x
  3. Step 3: Cross multiply
    851.70x = 1,277.75 × 462.09
  4. Step 4: Simplify right side
    851.70x = 590,433.19
  5. Step 5: Solve for x
    x = 590,433.19/851.70
  6. Step 6: Final answer
    x = 693.24

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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.