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Finding the Fourth Proportional to 1,282.19, 1,921.83 and 624.71

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Solution

The fourth proportional to 1,282.19, 1,921.83 and 624.71 is: 936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.19 : 1,921.83 = 624.71 : x
  2. Step 2: Convert to fraction form
    1,282.19/1,921.83 = 624.71/x
  3. Step 3: Cross multiply
    1,282.19x = 1,921.83 × 624.71
  4. Step 4: Simplify right side
    1,282.19x = 1,200,576.81
  5. Step 5: Solve for x
    x = 1,200,576.81/1,282.19
  6. Step 6: Final answer
    x = 936.35

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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.