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Finding the Fourth Proportional to 842.02, 1,161.98 and 590.30

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Solution

The fourth proportional to 842.02, 1,161.98 and 590.30 is: 814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.02 : 1,161.98 = 590.30 : x
  2. Step 2: Convert to fraction form
    842.02/1,161.98 = 590.30/x
  3. Step 3: Cross multiply
    842.02x = 1,161.98 × 590.30
  4. Step 4: Simplify right side
    842.02x = 685,916.79
  5. Step 5: Solve for x
    x = 685,916.79/842.02
  6. Step 6: Final answer
    x = 814.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.