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Finding the Fourth Proportional to 1,733, 2,599.50 and 578.84

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Solution

The fourth proportional to 1,733, 2,599.50 and 578.84 is: 868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733 : 2,599.50 = 578.84 : x
  2. Step 2: Convert to fraction form
    1,733/2,599.50 = 578.84/x
  3. Step 3: Cross multiply
    1,733x = 2,599.50 × 578.84
  4. Step 4: Simplify right side
    1,733x = 1,504,694.58
  5. Step 5: Solve for x
    x = 1,504,694.58/1,733
  6. Step 6: Final answer
    x = 868.26

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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.