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Finding the Fourth Proportional to 727.45, 1,089.45 and 466.63

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Solution

The fourth proportional to 727.45, 1,089.45 and 466.63 is: 698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.45 : 1,089.45 = 466.63 : x
  2. Step 2: Convert to fraction form
    727.45/1,089.45 = 466.63/x
  3. Step 3: Cross multiply
    727.45x = 1,089.45 × 466.63
  4. Step 4: Simplify right side
    727.45x = 508,370.05
  5. Step 5: Solve for x
    x = 508,370.05/727.45
  6. Step 6: Final answer
    x = 698.84

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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.