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Finding the Fourth Proportional to 682.70, 1,023.98 and 465.75

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Solution

The fourth proportional to 682.70, 1,023.98 and 465.75 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.70 : 1,023.98 = 465.75 : x
  2. Step 2: Convert to fraction form
    682.70/1,023.98 = 465.75/x
  3. Step 3: Cross multiply
    682.70x = 1,023.98 × 465.75
  4. Step 4: Simplify right side
    682.70x = 476,916.36
  5. Step 5: Solve for x
    x = 476,916.36/682.70
  6. Step 6: Final answer
    x = 698.58

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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.