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Finding the Fourth Proportional to 949.32, 1,422.36 and 920.16

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Solution

The fourth proportional to 949.32, 1,422.36 and 920.16 is: 1,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.32 : 1,422.36 = 920.16 : x
  2. Step 2: Convert to fraction form
    949.32/1,422.36 = 920.16/x
  3. Step 3: Cross multiply
    949.32x = 1,422.36 × 920.16
  4. Step 4: Simplify right side
    949.32x = 1,308,798.78
  5. Step 5: Solve for x
    x = 1,308,798.78/949.32
  6. Step 6: Final answer
    x = 1,378.67

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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.