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Finding the Fourth Proportional to 958.10, 1,321.52 and 678.30

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Solution

The fourth proportional to 958.10, 1,321.52 and 678.30 is: 935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.10 : 1,321.52 = 678.30 : x
  2. Step 2: Convert to fraction form
    958.10/1,321.52 = 678.30/x
  3. Step 3: Cross multiply
    958.10x = 1,321.52 × 678.30
  4. Step 4: Simplify right side
    958.10x = 896,387.02
  5. Step 5: Solve for x
    x = 896,387.02/958.10
  6. Step 6: Final answer
    x = 935.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.