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Finding the Fourth Proportional to 1,373.13, 2,059.29 and 756.72

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Solution

The fourth proportional to 1,373.13, 2,059.29 and 756.72 is: 1,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.13 : 2,059.29 = 756.72 : x
  2. Step 2: Convert to fraction form
    1,373.13/2,059.29 = 756.72/x
  3. Step 3: Cross multiply
    1,373.13x = 2,059.29 × 756.72
  4. Step 4: Simplify right side
    1,373.13x = 1,558,305.93
  5. Step 5: Solve for x
    x = 1,558,305.93/1,373.13
  6. Step 6: Final answer
    x = 1,134.86

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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.