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Finding the Fourth Proportional to 972.12, 1,334.99 and 832.24

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Solution

The fourth proportional to 972.12, 1,334.99 and 832.24 is: 1,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.12 : 1,334.99 = 832.24 : x
  2. Step 2: Convert to fraction form
    972.12/1,334.99 = 832.24/x
  3. Step 3: Cross multiply
    972.12x = 1,334.99 × 832.24
  4. Step 4: Simplify right side
    972.12x = 1,111,032.08
  5. Step 5: Solve for x
    x = 1,111,032.08/972.12
  6. Step 6: Final answer
    x = 1,142.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.