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Finding the Fourth Proportional to 884.70, 1,326.59 and 397.33

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Solution

The fourth proportional to 884.70, 1,326.59 and 397.33 is: 595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.70 : 1,326.59 = 397.33 : x
  2. Step 2: Convert to fraction form
    884.70/1,326.59 = 397.33/x
  3. Step 3: Cross multiply
    884.70x = 1,326.59 × 397.33
  4. Step 4: Simplify right side
    884.70x = 527,089.69
  5. Step 5: Solve for x
    x = 527,089.69/884.70
  6. Step 6: Final answer
    x = 595.79

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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.