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Finding the Fourth Proportional to 1,316.07, 1,971.14 and 767.43

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Solution

The fourth proportional to 1,316.07, 1,971.14 and 767.43 is: 1,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.07 : 1,971.14 = 767.43 : x
  2. Step 2: Convert to fraction form
    1,316.07/1,971.14 = 767.43/x
  3. Step 3: Cross multiply
    1,316.07x = 1,971.14 × 767.43
  4. Step 4: Simplify right side
    1,316.07x = 1,512,708.13
  5. Step 5: Solve for x
    x = 1,512,708.13/1,316.07
  6. Step 6: Final answer
    x = 1,149.41

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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.