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Finding the Fourth Proportional to 972.41, 1,450.24 and 827.08

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Solution

The fourth proportional to 972.41, 1,450.24 and 827.08 is: 1,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.41 : 1,450.24 = 827.08 : x
  2. Step 2: Convert to fraction form
    972.41/1,450.24 = 827.08/x
  3. Step 3: Cross multiply
    972.41x = 1,450.24 × 827.08
  4. Step 4: Simplify right side
    972.41x = 1,199,458.81
  5. Step 5: Solve for x
    x = 1,199,458.81/972.41
  6. Step 6: Final answer
    x = 1,233.50

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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.