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Finding the Fourth Proportional to 1,373.04, 2,057.04 and 755.82

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Solution

The fourth proportional to 1,373.04, 2,057.04 and 755.82 is: 1,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.04 : 2,057.04 = 755.82 : x
  2. Step 2: Convert to fraction form
    1,373.04/2,057.04 = 755.82/x
  3. Step 3: Cross multiply
    1,373.04x = 2,057.04 × 755.82
  4. Step 4: Simplify right side
    1,373.04x = 1,554,751.97
  5. Step 5: Solve for x
    x = 1,554,751.97/1,373.04
  6. Step 6: Final answer
    x = 1,132.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.