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Finding the Fourth Proportional to 958.16, 1,436.70 and 471.44

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Solution

The fourth proportional to 958.16, 1,436.70 and 471.44 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.16 : 1,436.70 = 471.44 : x
  2. Step 2: Convert to fraction form
    958.16/1,436.70 = 471.44/x
  3. Step 3: Cross multiply
    958.16x = 1,436.70 × 471.44
  4. Step 4: Simplify right side
    958.16x = 677,317.85
  5. Step 5: Solve for x
    x = 677,317.85/958.16
  6. Step 6: Final answer
    x = 706.89

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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.