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Finding the Fourth Proportional to 1,282.12, 1,923.60 and 632.80

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Solution

The fourth proportional to 1,282.12, 1,923.60 and 632.80 is: 949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.12 : 1,923.60 = 632.80 : x
  2. Step 2: Convert to fraction form
    1,282.12/1,923.60 = 632.80/x
  3. Step 3: Cross multiply
    1,282.12x = 1,923.60 × 632.80
  4. Step 4: Simplify right side
    1,282.12x = 1,217,254.08
  5. Step 5: Solve for x
    x = 1,217,254.08/1,282.12
  6. Step 6: Final answer
    x = 949.41

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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.