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Finding the Fourth Proportional to 1,261.31, 1,741.10 and 869.67

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Solution

The fourth proportional to 1,261.31, 1,741.10 and 869.67 is: 1,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.31 : 1,741.10 = 869.67 : x
  2. Step 2: Convert to fraction form
    1,261.31/1,741.10 = 869.67/x
  3. Step 3: Cross multiply
    1,261.31x = 1,741.10 × 869.67
  4. Step 4: Simplify right side
    1,261.31x = 1,514,178.09
  5. Step 5: Solve for x
    x = 1,514,178.09/1,261.31
  6. Step 6: Final answer
    x = 1,200.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.