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Finding the Fourth Proportional to 1,113.87, 1,536.84 and 759.15

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Solution

The fourth proportional to 1,113.87, 1,536.84 and 759.15 is: 1,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.87 : 1,536.84 = 759.15 : x
  2. Step 2: Convert to fraction form
    1,113.87/1,536.84 = 759.15/x
  3. Step 3: Cross multiply
    1,113.87x = 1,536.84 × 759.15
  4. Step 4: Simplify right side
    1,113.87x = 1,166,692.09
  5. Step 5: Solve for x
    x = 1,166,692.09/1,113.87
  6. Step 6: Final answer
    x = 1,047.42

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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.