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Finding the Fourth Proportional to 1,226.65, 1,839.12 and 983.11

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Solution

The fourth proportional to 1,226.65, 1,839.12 and 983.11 is: 1,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.65 : 1,839.12 = 983.11 : x
  2. Step 2: Convert to fraction form
    1,226.65/1,839.12 = 983.11/x
  3. Step 3: Cross multiply
    1,226.65x = 1,839.12 × 983.11
  4. Step 4: Simplify right side
    1,226.65x = 1,808,057.26
  5. Step 5: Solve for x
    x = 1,808,057.26/1,226.65
  6. Step 6: Final answer
    x = 1,473.98

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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.