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Finding the Fourth Proportional to 744.69, 1,116.11 and 470.17

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Solution

The fourth proportional to 744.69, 1,116.11 and 470.17 is: 704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.69 : 1,116.11 = 470.17 : x
  2. Step 2: Convert to fraction form
    744.69/1,116.11 = 470.17/x
  3. Step 3: Cross multiply
    744.69x = 1,116.11 × 470.17
  4. Step 4: Simplify right side
    744.69x = 524,764.01
  5. Step 5: Solve for x
    x = 524,764.01/744.69
  6. Step 6: Final answer
    x = 704.67

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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.