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Finding the Fourth Proportional to 1,643.82, 2,466.09 and 533.34

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Solution

The fourth proportional to 1,643.82, 2,466.09 and 533.34 is: 800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.82 : 2,466.09 = 533.34 : x
  2. Step 2: Convert to fraction form
    1,643.82/2,466.09 = 533.34/x
  3. Step 3: Cross multiply
    1,643.82x = 2,466.09 × 533.34
  4. Step 4: Simplify right side
    1,643.82x = 1,315,264.44
  5. Step 5: Solve for x
    x = 1,315,264.44/1,643.82
  6. Step 6: Final answer
    x = 800.13

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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.