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Finding the Fourth Proportional to 554.42, 826.39 and 512.88

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Solution

The fourth proportional to 554.42, 826.39 and 512.88 is: 764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.42 : 826.39 = 512.88 : x
  2. Step 2: Convert to fraction form
    554.42/826.39 = 512.88/x
  3. Step 3: Cross multiply
    554.42x = 826.39 × 512.88
  4. Step 4: Simplify right side
    554.42x = 423,840.37
  5. Step 5: Solve for x
    x = 423,840.37/554.42
  6. Step 6: Final answer
    x = 764.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.