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Finding the Fourth Proportional to 1,114.64, 1,538.24 and 617.28

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Solution

The fourth proportional to 1,114.64, 1,538.24 and 617.28 is: 851.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.64 : 1,538.24 = 617.28 : x
  2. Step 2: Convert to fraction form
    1,114.64/1,538.24 = 617.28/x
  3. Step 3: Cross multiply
    1,114.64x = 1,538.24 × 617.28
  4. Step 4: Simplify right side
    1,114.64x = 949,524.79
  5. Step 5: Solve for x
    x = 949,524.79/1,114.64
  6. Step 6: Final answer
    x = 851.87

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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.