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Finding the Fourth Proportional to 1,282.89, 1,923.12 and 624.36

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Solution

The fourth proportional to 1,282.89, 1,923.12 and 624.36 is: 935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.89 : 1,923.12 = 624.36 : x
  2. Step 2: Convert to fraction form
    1,282.89/1,923.12 = 624.36/x
  3. Step 3: Cross multiply
    1,282.89x = 1,923.12 × 624.36
  4. Step 4: Simplify right side
    1,282.89x = 1,200,719.20
  5. Step 5: Solve for x
    x = 1,200,719.20/1,282.89
  6. Step 6: Final answer
    x = 935.95

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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.