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Finding the Fourth Proportional to 1,016.25, 1,523.16 and 431.07

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Solution

The fourth proportional to 1,016.25, 1,523.16 and 431.07 is: 646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.25 : 1,523.16 = 431.07 : x
  2. Step 2: Convert to fraction form
    1,016.25/1,523.16 = 431.07/x
  3. Step 3: Cross multiply
    1,016.25x = 1,523.16 × 431.07
  4. Step 4: Simplify right side
    1,016.25x = 656,588.58
  5. Step 5: Solve for x
    x = 656,588.58/1,016.25
  6. Step 6: Final answer
    x = 646.09

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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.