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Finding the Fourth Proportional to 780.67, 1,077.27 and 465.73

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Solution

The fourth proportional to 780.67, 1,077.27 and 465.73 is: 642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.67 : 1,077.27 = 465.73 : x
  2. Step 2: Convert to fraction form
    780.67/1,077.27 = 465.73/x
  3. Step 3: Cross multiply
    780.67x = 1,077.27 × 465.73
  4. Step 4: Simplify right side
    780.67x = 501,711.57
  5. Step 5: Solve for x
    x = 501,711.57/780.67
  6. Step 6: Final answer
    x = 642.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.