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Finding the Fourth Proportional to 1,206.11, 1,808.79 and 384.59

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Solution

The fourth proportional to 1,206.11, 1,808.79 and 384.59 is: 576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.11 : 1,808.79 = 384.59 : x
  2. Step 2: Convert to fraction form
    1,206.11/1,808.79 = 384.59/x
  3. Step 3: Cross multiply
    1,206.11x = 1,808.79 × 384.59
  4. Step 4: Simplify right side
    1,206.11x = 695,642.55
  5. Step 5: Solve for x
    x = 695,642.55/1,206.11
  6. Step 6: Final answer
    x = 576.77

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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.