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Finding the Fourth Proportional to 1,226.29, 1,690.63 and 832.63

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Solution

The fourth proportional to 1,226.29, 1,690.63 and 832.63 is: 1,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.29 : 1,690.63 = 832.63 : x
  2. Step 2: Convert to fraction form
    1,226.29/1,690.63 = 832.63/x
  3. Step 3: Cross multiply
    1,226.29x = 1,690.63 × 832.63
  4. Step 4: Simplify right side
    1,226.29x = 1,407,671.40
  5. Step 5: Solve for x
    x = 1,407,671.40/1,226.29
  6. Step 6: Final answer
    x = 1,147.91

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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.