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Finding the Fourth Proportional to 1,114.81, 1,538.39 and 617.45

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Solution

The fourth proportional to 1,114.81, 1,538.39 and 617.45 is: 852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.81 : 1,538.39 = 617.45 : x
  2. Step 2: Convert to fraction form
    1,114.81/1,538.39 = 617.45/x
  3. Step 3: Cross multiply
    1,114.81x = 1,538.39 × 617.45
  4. Step 4: Simplify right side
    1,114.81x = 949,877.08
  5. Step 5: Solve for x
    x = 949,877.08/1,114.81
  6. Step 6: Final answer
    x = 852.05

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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.