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Finding the Fourth Proportional to 1,114.93, 1,538.25 and 649.09

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Solution

The fourth proportional to 1,114.93, 1,538.25 and 649.09 is: 895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.93 : 1,538.25 = 649.09 : x
  2. Step 2: Convert to fraction form
    1,114.93/1,538.25 = 649.09/x
  3. Step 3: Cross multiply
    1,114.93x = 1,538.25 × 649.09
  4. Step 4: Simplify right side
    1,114.93x = 998,462.69
  5. Step 5: Solve for x
    x = 998,462.69/1,114.93
  6. Step 6: Final answer
    x = 895.54

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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.