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Finding the Fourth Proportional to 686.30, 1,027.05 and 470.30

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Solution

The fourth proportional to 686.30, 1,027.05 and 470.30 is: 703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.30 : 1,027.05 = 470.30 : x
  2. Step 2: Convert to fraction form
    686.30/1,027.05 = 470.30/x
  3. Step 3: Cross multiply
    686.30x = 1,027.05 × 470.30
  4. Step 4: Simplify right side
    686.30x = 483,021.62
  5. Step 5: Solve for x
    x = 483,021.62/686.30
  6. Step 6: Final answer
    x = 703.81

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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.