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Finding the Fourth Proportional to 727.86, 1,004.20 and 465.82

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Solution

The fourth proportional to 727.86, 1,004.20 and 465.82 is: 642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.86 : 1,004.20 = 465.82 : x
  2. Step 2: Convert to fraction form
    727.86/1,004.20 = 465.82/x
  3. Step 3: Cross multiply
    727.86x = 1,004.20 × 465.82
  4. Step 4: Simplify right side
    727.86x = 467,776.44
  5. Step 5: Solve for x
    x = 467,776.44/727.86
  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.