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Finding the Fourth Proportional to 1,539.25, 2,307.94 and 694.78

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Solution

The fourth proportional to 1,539.25, 2,307.94 and 694.78 is: 1,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.25 : 2,307.94 = 694.78 : x
  2. Step 2: Convert to fraction form
    1,539.25/2,307.94 = 694.78/x
  3. Step 3: Cross multiply
    1,539.25x = 2,307.94 × 694.78
  4. Step 4: Simplify right side
    1,539.25x = 1,603,503.05
  5. Step 5: Solve for x
    x = 1,603,503.05/1,539.25
  6. Step 6: Final answer
    x = 1,041.74

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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.