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Finding the Fourth Proportional to 1,709.76, 2,564.96 and 683.84

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Solution

The fourth proportional to 1,709.76, 2,564.96 and 683.84 is: 1,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.76 : 2,564.96 = 683.84 : x
  2. Step 2: Convert to fraction form
    1,709.76/2,564.96 = 683.84/x
  3. Step 3: Cross multiply
    1,709.76x = 2,564.96 × 683.84
  4. Step 4: Simplify right side
    1,709.76x = 1,754,022.25
  5. Step 5: Solve for x
    x = 1,754,022.25/1,709.76
  6. Step 6: Final answer
    x = 1,025.89

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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.