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Finding the Fourth Proportional to 682.51, 1,023.19 and 584.63

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Solution

The fourth proportional to 682.51, 1,023.19 and 584.63 is: 876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.51 : 1,023.19 = 584.63 : x
  2. Step 2: Convert to fraction form
    682.51/1,023.19 = 584.63/x
  3. Step 3: Cross multiply
    682.51x = 1,023.19 × 584.63
  4. Step 4: Simplify right side
    682.51x = 598,187.57
  5. Step 5: Solve for x
    x = 598,187.57/682.51
  6. Step 6: Final answer
    x = 876.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.