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Finding the Fourth Proportional to 1,114.94, 1,538.57 and 617.60

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Solution

The fourth proportional to 1,114.94, 1,538.57 and 617.60 is: 852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.94 : 1,538.57 = 617.60 : x
  2. Step 2: Convert to fraction form
    1,114.94/1,538.57 = 617.60/x
  3. Step 3: Cross multiply
    1,114.94x = 1,538.57 × 617.60
  4. Step 4: Simplify right side
    1,114.94x = 950,210.05
  5. Step 5: Solve for x
    x = 950,210.05/1,114.94
  6. Step 6: Final answer
    x = 852.26

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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.