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Finding the Fourth Proportional to 682.64, 1,023.04 and 374.03

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Solution

The fourth proportional to 682.64, 1,023.04 and 374.03 is: 560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.64 : 1,023.04 = 374.03 : x
  2. Step 2: Convert to fraction form
    682.64/1,023.04 = 374.03/x
  3. Step 3: Cross multiply
    682.64x = 1,023.04 × 374.03
  4. Step 4: Simplify right side
    682.64x = 382,641.60
  5. Step 5: Solve for x
    x = 382,641.60/682.64
  6. Step 6: Final answer
    x = 560.54

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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.