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Finding the Fourth Proportional to 1,283.84, 1,770.90 and 759.50

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Solution

The fourth proportional to 1,283.84, 1,770.90 and 759.50 is: 1,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.84 : 1,770.90 = 759.50 : x
  2. Step 2: Convert to fraction form
    1,283.84/1,770.90 = 759.50/x
  3. Step 3: Cross multiply
    1,283.84x = 1,770.90 × 759.50
  4. Step 4: Simplify right side
    1,283.84x = 1,344,998.55
  5. Step 5: Solve for x
    x = 1,344,998.55/1,283.84
  6. Step 6: Final answer
    x = 1,047.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.