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Finding the Fourth Proportional to 1,373.81, 2,059.23 and 594.18

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Solution

The fourth proportional to 1,373.81, 2,059.23 and 594.18 is: 890.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.81 : 2,059.23 = 594.18 : x
  2. Step 2: Convert to fraction form
    1,373.81/2,059.23 = 594.18/x
  3. Step 3: Cross multiply
    1,373.81x = 2,059.23 × 594.18
  4. Step 4: Simplify right side
    1,373.81x = 1,223,553.28
  5. Step 5: Solve for x
    x = 1,223,553.28/1,373.81
  6. Step 6: Final answer
    x = 890.63

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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.