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Finding the Fourth Proportional to 1,153.82, 1,591.70 and 755.30

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Solution

The fourth proportional to 1,153.82, 1,591.70 and 755.30 is: 1,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.82 : 1,591.70 = 755.30 : x
  2. Step 2: Convert to fraction form
    1,153.82/1,591.70 = 755.30/x
  3. Step 3: Cross multiply
    1,153.82x = 1,591.70 × 755.30
  4. Step 4: Simplify right side
    1,153.82x = 1,202,211.01
  5. Step 5: Solve for x
    x = 1,202,211.01/1,153.82
  6. Step 6: Final answer
    x = 1,041.94

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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.