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Finding the Fourth Proportional to 1,206.12, 1,808.63 and 384.21

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Solution

The fourth proportional to 1,206.12, 1,808.63 and 384.21 is: 576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.12 : 1,808.63 = 384.21 : x
  2. Step 2: Convert to fraction form
    1,206.12/1,808.63 = 384.21/x
  3. Step 3: Cross multiply
    1,206.12x = 1,808.63 × 384.21
  4. Step 4: Simplify right side
    1,206.12x = 694,893.25
  5. Step 5: Solve for x
    x = 694,893.25/1,206.12
  6. Step 6: Final answer
    x = 576.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.