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Finding the Fourth Proportional to 1,202.39, 1,801.25 and 790.28

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Solution

The fourth proportional to 1,202.39, 1,801.25 and 790.28 is: 1,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.39 : 1,801.25 = 790.28 : x
  2. Step 2: Convert to fraction form
    1,202.39/1,801.25 = 790.28/x
  3. Step 3: Cross multiply
    1,202.39x = 1,801.25 × 790.28
  4. Step 4: Simplify right side
    1,202.39x = 1,423,482.84
  5. Step 5: Solve for x
    x = 1,423,482.84/1,202.39
  6. Step 6: Final answer
    x = 1,183.88

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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.