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Finding the Fourth Proportional to 1,699.06, 2,548.68 and 774.70

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Solution

The fourth proportional to 1,699.06, 2,548.68 and 774.70 is: 1,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.06 : 2,548.68 = 774.70 : x
  2. Step 2: Convert to fraction form
    1,699.06/2,548.68 = 774.70/x
  3. Step 3: Cross multiply
    1,699.06x = 2,548.68 × 774.70
  4. Step 4: Simplify right side
    1,699.06x = 1,974,462.40
  5. Step 5: Solve for x
    x = 1,974,462.40/1,699.06
  6. Step 6: Final answer
    x = 1,162.09

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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.