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Finding the Fourth Proportional to 1,766.17, 2,649.44 and 596.31

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Solution

The fourth proportional to 1,766.17, 2,649.44 and 596.31 is: 894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.17 : 2,649.44 = 596.31 : x
  2. Step 2: Convert to fraction form
    1,766.17/2,649.44 = 596.31/x
  3. Step 3: Cross multiply
    1,766.17x = 2,649.44 × 596.31
  4. Step 4: Simplify right side
    1,766.17x = 1,579,879.12
  5. Step 5: Solve for x
    x = 1,579,879.12/1,766.17
  6. Step 6: Final answer
    x = 894.52

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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.