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Finding the Fourth Proportional to 958.67, 1,440.74 and 472.06

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Solution

The fourth proportional to 958.67, 1,440.74 and 472.06 is: 709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.67 : 1,440.74 = 472.06 : x
  2. Step 2: Convert to fraction form
    958.67/1,440.74 = 472.06/x
  3. Step 3: Cross multiply
    958.67x = 1,440.74 × 472.06
  4. Step 4: Simplify right side
    958.67x = 680,113.36
  5. Step 5: Solve for x
    x = 680,113.36/958.67
  6. Step 6: Final answer
    x = 709.44

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Why These Related Problems?

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