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Finding the Fourth Proportional to 1,257.30, 1,885.95 and 824.36

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Solution

The fourth proportional to 1,257.30, 1,885.95 and 824.36 is: 1,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.30 : 1,885.95 = 824.36 : x
  2. Step 2: Convert to fraction form
    1,257.30/1,885.95 = 824.36/x
  3. Step 3: Cross multiply
    1,257.30x = 1,885.95 × 824.36
  4. Step 4: Simplify right side
    1,257.30x = 1,554,692.31
  5. Step 5: Solve for x
    x = 1,554,692.31/1,257.30
  6. Step 6: Final answer
    x = 1,236.53

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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.