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Finding the Fourth Proportional to 1,261.12, 1,741.08 and 842.08

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Solution

The fourth proportional to 1,261.12, 1,741.08 and 842.08 is: 1,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.12 : 1,741.08 = 842.08 : x
  2. Step 2: Convert to fraction form
    1,261.12/1,741.08 = 842.08/x
  3. Step 3: Cross multiply
    1,261.12x = 1,741.08 × 842.08
  4. Step 4: Simplify right side
    1,261.12x = 1,466,128.65
  5. Step 5: Solve for x
    x = 1,466,128.65/1,261.12
  6. Step 6: Final answer
    x = 1,162.56

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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.