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Finding the Fourth Proportional to 1,270.25, 1,904.68 and 685.95

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Solution

The fourth proportional to 1,270.25, 1,904.68 and 685.95 is: 1,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.25 : 1,904.68 = 685.95 : x
  2. Step 2: Convert to fraction form
    1,270.25/1,904.68 = 685.95/x
  3. Step 3: Cross multiply
    1,270.25x = 1,904.68 × 685.95
  4. Step 4: Simplify right side
    1,270.25x = 1,306,515.25
  5. Step 5: Solve for x
    x = 1,306,515.25/1,270.25
  6. Step 6: Final answer
    x = 1,028.55

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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.