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Finding the Fourth Proportional to 700.92, 965.07 and 595.80

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Solution

The fourth proportional to 700.92, 965.07 and 595.80 is: 820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.92 : 965.07 = 595.80 : x
  2. Step 2: Convert to fraction form
    700.92/965.07 = 595.80/x
  3. Step 3: Cross multiply
    700.92x = 965.07 × 595.80
  4. Step 4: Simplify right side
    700.92x = 574,988.71
  5. Step 5: Solve for x
    x = 574,988.71/700.92
  6. Step 6: Final answer
    x = 820.33

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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.