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Finding the Fourth Proportional to 1,114.65, 1,536.70 and 939.69

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Solution

The fourth proportional to 1,114.65, 1,536.70 and 939.69 is: 1,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.65 : 1,536.70 = 939.69 : x
  2. Step 2: Convert to fraction form
    1,114.65/1,536.70 = 939.69/x
  3. Step 3: Cross multiply
    1,114.65x = 1,536.70 × 939.69
  4. Step 4: Simplify right side
    1,114.65x = 1,444,021.62
  5. Step 5: Solve for x
    x = 1,444,021.62/1,114.65
  6. Step 6: Final answer
    x = 1,295.49

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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.