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Finding the Fourth Proportional to 701.04, 965.23 and 595.91

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Solution

The fourth proportional to 701.04, 965.23 and 595.91 is: 820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.04 : 965.23 = 595.91 : x
  2. Step 2: Convert to fraction form
    701.04/965.23 = 595.91/x
  3. Step 3: Cross multiply
    701.04x = 965.23 × 595.91
  4. Step 4: Simplify right side
    701.04x = 575,190.21
  5. Step 5: Solve for x
    x = 575,190.21/701.04
  6. Step 6: Final answer
    x = 820.48

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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.