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Finding the Fourth Proportional to 1,263.34, 1,744.87 and 842.96

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Solution

The fourth proportional to 1,263.34, 1,744.87 and 842.96 is: 1,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.34 : 1,744.87 = 842.96 : x
  2. Step 2: Convert to fraction form
    1,263.34/1,744.87 = 842.96/x
  3. Step 3: Cross multiply
    1,263.34x = 1,744.87 × 842.96
  4. Step 4: Simplify right side
    1,263.34x = 1,470,851.40
  5. Step 5: Solve for x
    x = 1,470,851.40/1,263.34
  6. Step 6: Final answer
    x = 1,164.26

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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.