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Finding the Fourth Proportional to 727.77, 1,003.15 and 491.64

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Solution

The fourth proportional to 727.77, 1,003.15 and 491.64 is: 677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.77 : 1,003.15 = 491.64 : x
  2. Step 2: Convert to fraction form
    727.77/1,003.15 = 491.64/x
  3. Step 3: Cross multiply
    727.77x = 1,003.15 × 491.64
  4. Step 4: Simplify right side
    727.77x = 493,185.57
  5. Step 5: Solve for x
    x = 493,185.57/727.77
  6. Step 6: Final answer
    x = 677.67

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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.