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Finding the Fourth Proportional to 727.34, 1,089.23 and 466.52

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Solution

The fourth proportional to 727.34, 1,089.23 and 466.52 is: 698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.34 : 1,089.23 = 466.52 : x
  2. Step 2: Convert to fraction form
    727.34/1,089.23 = 466.52/x
  3. Step 3: Cross multiply
    727.34x = 1,089.23 × 466.52
  4. Step 4: Simplify right side
    727.34x = 508,147.58
  5. Step 5: Solve for x
    x = 508,147.58/727.34
  6. Step 6: Final answer
    x = 698.64

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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.