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Finding the Fourth Proportional to 701.46, 965.93 and 590.49

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Solution

The fourth proportional to 701.46, 965.93 and 590.49 is: 813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.46 : 965.93 = 590.49 : x
  2. Step 2: Convert to fraction form
    701.46/965.93 = 590.49/x
  3. Step 3: Cross multiply
    701.46x = 965.93 × 590.49
  4. Step 4: Simplify right side
    701.46x = 570,369.05
  5. Step 5: Solve for x
    x = 570,369.05/701.46
  6. Step 6: Final answer
    x = 813.12

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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.