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Finding the Fourth Proportional to 1,298.11, 1,790.90 and 832.63

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Solution

The fourth proportional to 1,298.11, 1,790.90 and 832.63 is: 1,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.11 : 1,790.90 = 832.63 : x
  2. Step 2: Convert to fraction form
    1,298.11/1,790.90 = 832.63/x
  3. Step 3: Cross multiply
    1,298.11x = 1,790.90 × 832.63
  4. Step 4: Simplify right side
    1,298.11x = 1,491,157.07
  5. Step 5: Solve for x
    x = 1,491,157.07/1,298.11
  6. Step 6: Final answer
    x = 1,148.71

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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.