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Finding the Fourth Proportional to 589.36, 883.56 and 512.14

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Solution

The fourth proportional to 589.36, 883.56 and 512.14 is: 767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.36 : 883.56 = 512.14 : x
  2. Step 2: Convert to fraction form
    589.36/883.56 = 512.14/x
  3. Step 3: Cross multiply
    589.36x = 883.56 × 512.14
  4. Step 4: Simplify right side
    589.36x = 452,506.42
  5. Step 5: Solve for x
    x = 452,506.42/589.36
  6. Step 6: Final answer
    x = 767.79

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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.