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Finding the Fourth Proportional to 1,161.34, 1,602.72 and 767.68

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Solution

The fourth proportional to 1,161.34, 1,602.72 and 767.68 is: 1,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.34 : 1,602.72 = 767.68 : x
  2. Step 2: Convert to fraction form
    1,161.34/1,602.72 = 767.68/x
  3. Step 3: Cross multiply
    1,161.34x = 1,602.72 × 767.68
  4. Step 4: Simplify right side
    1,161.34x = 1,230,372.08
  5. Step 5: Solve for x
    x = 1,230,372.08/1,161.34
  6. Step 6: Final answer
    x = 1,059.44

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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.