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Finding the Fourth Proportional to 1,203.85, 1,804.39 and 509.48

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Solution

The fourth proportional to 1,203.85, 1,804.39 and 509.48 is: 763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.85 : 1,804.39 = 509.48 : x
  2. Step 2: Convert to fraction form
    1,203.85/1,804.39 = 509.48/x
  3. Step 3: Cross multiply
    1,203.85x = 1,804.39 × 509.48
  4. Step 4: Simplify right side
    1,203.85x = 919,300.62
  5. Step 5: Solve for x
    x = 919,300.62/1,203.85
  6. Step 6: Final answer
    x = 763.63

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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.