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Finding the Fourth Proportional to 1,017, 1,529.14 and 814.09

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Solution

The fourth proportional to 1,017, 1,529.14 and 814.09 is: 1,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017 : 1,529.14 = 814.09 : x
  2. Step 2: Convert to fraction form
    1,017/1,529.14 = 814.09/x
  3. Step 3: Cross multiply
    1,017x = 1,529.14 × 814.09
  4. Step 4: Simplify right side
    1,017x = 1,244,857.58
  5. Step 5: Solve for x
    x = 1,244,857.58/1,017
  6. Step 6: Final answer
    x = 1,224.05

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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.