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Finding the Fourth Proportional to 701.13, 967.62 and 435.75

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Solution

The fourth proportional to 701.13, 967.62 and 435.75 is: 601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.13 : 967.62 = 435.75 : x
  2. Step 2: Convert to fraction form
    701.13/967.62 = 435.75/x
  3. Step 3: Cross multiply
    701.13x = 967.62 × 435.75
  4. Step 4: Simplify right side
    701.13x = 421,640.42
  5. Step 5: Solve for x
    x = 421,640.42/701.13
  6. Step 6: Final answer
    x = 601.37

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