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Finding the Fourth Proportional to 684.04, 1,023.90 and 466.60

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Solution

The fourth proportional to 684.04, 1,023.90 and 466.60 is: 698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.04 : 1,023.90 = 466.60 : x
  2. Step 2: Convert to fraction form
    684.04/1,023.90 = 466.60/x
  3. Step 3: Cross multiply
    684.04x = 1,023.90 × 466.60
  4. Step 4: Simplify right side
    684.04x = 477,751.74
  5. Step 5: Solve for x
    x = 477,751.74/684.04
  6. Step 6: Final answer
    x = 698.43

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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.