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Finding the Fourth Proportional to 1,522.30, 2,282.77 and 700.84

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Solution

The fourth proportional to 1,522.30, 2,282.77 and 700.84 is: 1,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.30 : 2,282.77 = 700.84 : x
  2. Step 2: Convert to fraction form
    1,522.30/2,282.77 = 700.84/x
  3. Step 3: Cross multiply
    1,522.30x = 2,282.77 × 700.84
  4. Step 4: Simplify right side
    1,522.30x = 1,599,856.53
  5. Step 5: Solve for x
    x = 1,599,856.53/1,522.30
  6. Step 6: Final answer
    x = 1,050.95

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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.