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Finding the Fourth Proportional to 1,724.67, 2,587.26 and 628.79

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Solution

The fourth proportional to 1,724.67, 2,587.26 and 628.79 is: 943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.67 : 2,587.26 = 628.79 : x
  2. Step 2: Convert to fraction form
    1,724.67/2,587.26 = 628.79/x
  3. Step 3: Cross multiply
    1,724.67x = 2,587.26 × 628.79
  4. Step 4: Simplify right side
    1,724.67x = 1,626,830.28
  5. Step 5: Solve for x
    x = 1,626,830.28/1,724.67
  6. Step 6: Final answer
    x = 943.27

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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.