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Finding the Fourth Proportional to 1,221.52, 1,832.07 and 355.63

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Solution

The fourth proportional to 1,221.52, 1,832.07 and 355.63 is: 533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.52 : 1,832.07 = 355.63 : x
  2. Step 2: Convert to fraction form
    1,221.52/1,832.07 = 355.63/x
  3. Step 3: Cross multiply
    1,221.52x = 1,832.07 × 355.63
  4. Step 4: Simplify right side
    1,221.52x = 651,537.28
  5. Step 5: Solve for x
    x = 651,537.28/1,221.52
  6. Step 6: Final answer
    x = 533.38

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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.