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Finding the Fourth Proportional to 1,203.19, 1,805.49 and 509.83

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Solution

The fourth proportional to 1,203.19, 1,805.49 and 509.83 is: 765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.19 : 1,805.49 = 509.83 : x
  2. Step 2: Convert to fraction form
    1,203.19/1,805.49 = 509.83/x
  3. Step 3: Cross multiply
    1,203.19x = 1,805.49 × 509.83
  4. Step 4: Simplify right side
    1,203.19x = 920,488.45
  5. Step 5: Solve for x
    x = 920,488.45/1,203.19
  6. Step 6: Final answer
    x = 765.04

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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.