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Finding the Fourth Proportional to 1,114.98, 1,538.67 and 617.70

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Solution

The fourth proportional to 1,114.98, 1,538.67 and 617.70 is: 852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.98 : 1,538.67 = 617.70 : x
  2. Step 2: Convert to fraction form
    1,114.98/1,538.67 = 617.70/x
  3. Step 3: Cross multiply
    1,114.98x = 1,538.67 × 617.70
  4. Step 4: Simplify right side
    1,114.98x = 950,436.46
  5. Step 5: Solve for x
    x = 950,436.46/1,114.98
  6. Step 6: Final answer
    x = 852.42

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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.