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Finding the Fourth Proportional to 1,141.74, 1,575.63 and 762.96

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Solution

The fourth proportional to 1,141.74, 1,575.63 and 762.96 is: 1,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.74 : 1,575.63 = 762.96 : x
  2. Step 2: Convert to fraction form
    1,141.74/1,575.63 = 762.96/x
  3. Step 3: Cross multiply
    1,141.74x = 1,575.63 × 762.96
  4. Step 4: Simplify right side
    1,141.74x = 1,202,142.66
  5. Step 5: Solve for x
    x = 1,202,142.66/1,141.74
  6. Step 6: Final answer
    x = 1,052.90

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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.