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Finding the Fourth Proportional to 1,732.96, 2,599.77 and 563.28

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Solution

The fourth proportional to 1,732.96, 2,599.77 and 563.28 is: 845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.96 : 2,599.77 = 563.28 : x
  2. Step 2: Convert to fraction form
    1,732.96/2,599.77 = 563.28/x
  3. Step 3: Cross multiply
    1,732.96x = 2,599.77 × 563.28
  4. Step 4: Simplify right side
    1,732.96x = 1,464,398.45
  5. Step 5: Solve for x
    x = 1,464,398.45/1,732.96
  6. Step 6: Final answer
    x = 845.03

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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.