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Finding the Fourth Proportional to 958.98, 1,436.58 and 470.56

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Solution

The fourth proportional to 958.98, 1,436.58 and 470.56 is: 704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.98 : 1,436.58 = 470.56 : x
  2. Step 2: Convert to fraction form
    958.98/1,436.58 = 470.56/x
  3. Step 3: Cross multiply
    958.98x = 1,436.58 × 470.56
  4. Step 4: Simplify right side
    958.98x = 675,997.08
  5. Step 5: Solve for x
    x = 675,997.08/958.98
  6. Step 6: Final answer
    x = 704.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.