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Finding the Fourth Proportional to 1,221.57, 1,832.16 and 355.68

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Solution

The fourth proportional to 1,221.57, 1,832.16 and 355.68 is: 533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.57 : 1,832.16 = 355.68 : x
  2. Step 2: Convert to fraction form
    1,221.57/1,832.16 = 355.68/x
  3. Step 3: Cross multiply
    1,221.57x = 1,832.16 × 355.68
  4. Step 4: Simplify right side
    1,221.57x = 651,662.67
  5. Step 5: Solve for x
    x = 651,662.67/1,221.57
  6. Step 6: Final answer
    x = 533.46

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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.