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Finding the Fourth Proportional to 942.31, 1,410.18 and 832.15

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Solution

The fourth proportional to 942.31, 1,410.18 and 832.15 is: 1,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.31 : 1,410.18 = 832.15 : x
  2. Step 2: Convert to fraction form
    942.31/1,410.18 = 832.15/x
  3. Step 3: Cross multiply
    942.31x = 1,410.18 × 832.15
  4. Step 4: Simplify right side
    942.31x = 1,173,481.29
  5. Step 5: Solve for x
    x = 1,173,481.29/942.31
  6. Step 6: Final answer
    x = 1,245.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.