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Finding the Fourth Proportional to 1,207.14, 1,808.64 and 767.34

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Solution

The fourth proportional to 1,207.14, 1,808.64 and 767.34 is: 1,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.14 : 1,808.64 = 767.34 : x
  2. Step 2: Convert to fraction form
    1,207.14/1,808.64 = 767.34/x
  3. Step 3: Cross multiply
    1,207.14x = 1,808.64 × 767.34
  4. Step 4: Simplify right side
    1,207.14x = 1,387,841.82
  5. Step 5: Solve for x
    x = 1,387,841.82/1,207.14
  6. Step 6: Final answer
    x = 1,149.69

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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.