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Finding the Fourth Proportional to 679.94, 1,019.76 and 289.93

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Solution

The fourth proportional to 679.94, 1,019.76 and 289.93 is: 434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.94 : 1,019.76 = 289.93 : x
  2. Step 2: Convert to fraction form
    679.94/1,019.76 = 289.93/x
  3. Step 3: Cross multiply
    679.94x = 1,019.76 × 289.93
  4. Step 4: Simplify right side
    679.94x = 295,659.74
  5. Step 5: Solve for x
    x = 295,659.74/679.94
  6. Step 6: Final answer
    x = 434.83

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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.