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Finding the Fourth Proportional to 686.75, 1,028.16 and 501.84

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Solution

The fourth proportional to 686.75, 1,028.16 and 501.84 is: 751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.75 : 1,028.16 = 501.84 : x
  2. Step 2: Convert to fraction form
    686.75/1,028.16 = 501.84/x
  3. Step 3: Cross multiply
    686.75x = 1,028.16 × 501.84
  4. Step 4: Simplify right side
    686.75x = 515,971.81
  5. Step 5: Solve for x
    x = 515,971.81/686.75
  6. Step 6: Final answer
    x = 751.33

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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.