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Finding the Fourth Proportional to 1,114.88, 1,538.53 and 649.13

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Solution

The fourth proportional to 1,114.88, 1,538.53 and 649.13 is: 895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.88 : 1,538.53 = 649.13 : x
  2. Step 2: Convert to fraction form
    1,114.88/1,538.53 = 649.13/x
  3. Step 3: Cross multiply
    1,114.88x = 1,538.53 × 649.13
  4. Step 4: Simplify right side
    1,114.88x = 998,696.66
  5. Step 5: Solve for x
    x = 998,696.66/1,114.88
  6. Step 6: Final answer
    x = 895.79

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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.