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Finding the Fourth Proportional to 969.42, 1,448.64 and 723.18

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Solution

The fourth proportional to 969.42, 1,448.64 and 723.18 is: 1,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.42 : 1,448.64 = 723.18 : x
  2. Step 2: Convert to fraction form
    969.42/1,448.64 = 723.18/x
  3. Step 3: Cross multiply
    969.42x = 1,448.64 × 723.18
  4. Step 4: Simplify right side
    969.42x = 1,047,627.48
  5. Step 5: Solve for x
    x = 1,047,627.48/969.42
  6. Step 6: Final answer
    x = 1,080.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.