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Finding the Fourth Proportional to 972.72, 1,448.24 and 967.84

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Solution

The fourth proportional to 972.72, 1,448.24 and 967.84 is: 1,440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.72 : 1,448.24 = 967.84 : x
  2. Step 2: Convert to fraction form
    972.72/1,448.24 = 967.84/x
  3. Step 3: Cross multiply
    972.72x = 1,448.24 × 967.84
  4. Step 4: Simplify right side
    972.72x = 1,401,664.60
  5. Step 5: Solve for x
    x = 1,401,664.60/972.72
  6. Step 6: Final answer
    x = 1,440.97

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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.