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Finding the Fourth Proportional to 1,308.49, 1,962.94 and 384.11

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Solution

The fourth proportional to 1,308.49, 1,962.94 and 384.11 is: 576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.49 : 1,962.94 = 384.11 : x
  2. Step 2: Convert to fraction form
    1,308.49/1,962.94 = 384.11/x
  3. Step 3: Cross multiply
    1,308.49x = 1,962.94 × 384.11
  4. Step 4: Simplify right side
    1,308.49x = 753,984.88
  5. Step 5: Solve for x
    x = 753,984.88/1,308.49
  6. Step 6: Final answer
    x = 576.23

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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.