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Finding the Fourth Proportional to 1,373.03, 2,059.55 and 399.14

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Solution

The fourth proportional to 1,373.03, 2,059.55 and 399.14 is: 598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.03 : 2,059.55 = 399.14 : x
  2. Step 2: Convert to fraction form
    1,373.03/2,059.55 = 399.14/x
  3. Step 3: Cross multiply
    1,373.03x = 2,059.55 × 399.14
  4. Step 4: Simplify right side
    1,373.03x = 822,052.94
  5. Step 5: Solve for x
    x = 822,052.94/1,373.03
  6. Step 6: Final answer
    x = 598.71

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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.