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Finding the Fourth Proportional to 675.09, 932.09 and 595.80

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Solution

The fourth proportional to 675.09, 932.09 and 595.80 is: 822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.09 : 932.09 = 595.80 : x
  2. Step 2: Convert to fraction form
    675.09/932.09 = 595.80/x
  3. Step 3: Cross multiply
    675.09x = 932.09 × 595.80
  4. Step 4: Simplify right side
    675.09x = 555,336.24
  5. Step 5: Solve for x
    x = 555,336.24/675.09
  6. Step 6: Final answer
    x = 822.61

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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.