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Finding the Fourth Proportional to 979.30, 1,469.51 and 394.57

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Solution

The fourth proportional to 979.30, 1,469.51 and 394.57 is: 592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.30 : 1,469.51 = 394.57 : x
  2. Step 2: Convert to fraction form
    979.30/1,469.51 = 394.57/x
  3. Step 3: Cross multiply
    979.30x = 1,469.51 × 394.57
  4. Step 4: Simplify right side
    979.30x = 579,815.24
  5. Step 5: Solve for x
    x = 579,815.24/979.30
  6. Step 6: Final answer
    x = 592.07

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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.