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Finding the Fourth Proportional to 1,139.62, 1,705.36 and 827.63

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Solution

The fourth proportional to 1,139.62, 1,705.36 and 827.63 is: 1,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.62 : 1,705.36 = 827.63 : x
  2. Step 2: Convert to fraction form
    1,139.62/1,705.36 = 827.63/x
  3. Step 3: Cross multiply
    1,139.62x = 1,705.36 × 827.63
  4. Step 4: Simplify right side
    1,139.62x = 1,411,407.10
  5. Step 5: Solve for x
    x = 1,411,407.10/1,139.62
  6. Step 6: Final answer
    x = 1,238.49

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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.