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Finding the Fourth Proportional to 1,354.82, 2,033.31 and 533.30

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Solution

The fourth proportional to 1,354.82, 2,033.31 and 533.30 is: 800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.82 : 2,033.31 = 533.30 : x
  2. Step 2: Convert to fraction form
    1,354.82/2,033.31 = 533.30/x
  3. Step 3: Cross multiply
    1,354.82x = 2,033.31 × 533.30
  4. Step 4: Simplify right side
    1,354.82x = 1,084,364.22
  5. Step 5: Solve for x
    x = 1,084,364.22/1,354.82
  6. Step 6: Final answer
    x = 800.38

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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.