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Finding the Fourth Proportional to 795.45, 1,192.09 and 590.79

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Solution

The fourth proportional to 795.45, 1,192.09 and 590.79 is: 885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.45 : 1,192.09 = 590.79 : x
  2. Step 2: Convert to fraction form
    795.45/1,192.09 = 590.79/x
  3. Step 3: Cross multiply
    795.45x = 1,192.09 × 590.79
  4. Step 4: Simplify right side
    795.45x = 704,274.85
  5. Step 5: Solve for x
    x = 704,274.85/795.45
  6. Step 6: Final answer
    x = 885.38

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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.