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Finding the Fourth Proportional to 979.23, 1,467.84 and 431.31

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Solution

The fourth proportional to 979.23, 1,467.84 and 431.31 is: 646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.23 : 1,467.84 = 431.31 : x
  2. Step 2: Convert to fraction form
    979.23/1,467.84 = 431.31/x
  3. Step 3: Cross multiply
    979.23x = 1,467.84 × 431.31
  4. Step 4: Simplify right side
    979.23x = 633,094.07
  5. Step 5: Solve for x
    x = 633,094.07/979.23
  6. Step 6: Final answer
    x = 646.52

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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.