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Finding the Fourth Proportional to 1,114.86, 1,538.42 and 617.49

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Solution

The fourth proportional to 1,114.86, 1,538.42 and 617.49 is: 852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.86 : 1,538.42 = 617.49 : x
  2. Step 2: Convert to fraction form
    1,114.86/1,538.42 = 617.49/x
  3. Step 3: Cross multiply
    1,114.86x = 1,538.42 × 617.49
  4. Step 4: Simplify right side
    1,114.86x = 949,955.88
  5. Step 5: Solve for x
    x = 949,955.88/1,114.86
  6. Step 6: Final answer
    x = 852.09

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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.