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Finding the Fourth Proportional to 1,175.34, 1,761.74 and 764.77

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Solution

The fourth proportional to 1,175.34, 1,761.74 and 764.77 is: 1,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.34 : 1,761.74 = 764.77 : x
  2. Step 2: Convert to fraction form
    1,175.34/1,761.74 = 764.77/x
  3. Step 3: Cross multiply
    1,175.34x = 1,761.74 × 764.77
  4. Step 4: Simplify right side
    1,175.34x = 1,347,313.27
  5. Step 5: Solve for x
    x = 1,347,313.27/1,175.34
  6. Step 6: Final answer
    x = 1,146.32

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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.