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Finding the Fourth Proportional to 1,203.42, 1,805.48 and 359.14

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Solution

The fourth proportional to 1,203.42, 1,805.48 and 359.14 is: 538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.42 : 1,805.48 = 359.14 : x
  2. Step 2: Convert to fraction form
    1,203.42/1,805.48 = 359.14/x
  3. Step 3: Cross multiply
    1,203.42x = 1,805.48 × 359.14
  4. Step 4: Simplify right side
    1,203.42x = 648,420.09
  5. Step 5: Solve for x
    x = 648,420.09/1,203.42
  6. Step 6: Final answer
    x = 538.82

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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.