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Finding the Fourth Proportional to 914.89, 1,372.94 and 670.67

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Solution

The fourth proportional to 914.89, 1,372.94 and 670.67 is: 1,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.89 : 1,372.94 = 670.67 : x
  2. Step 2: Convert to fraction form
    914.89/1,372.94 = 670.67/x
  3. Step 3: Cross multiply
    914.89x = 1,372.94 × 670.67
  4. Step 4: Simplify right side
    914.89x = 920,789.67
  5. Step 5: Solve for x
    x = 920,789.67/914.89
  6. Step 6: Final answer
    x = 1,006.45

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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.