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Finding the Fourth Proportional to 1,083.80, 1,625.96 and 314.30

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Solution

The fourth proportional to 1,083.80, 1,625.96 and 314.30 is: 471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.80 : 1,625.96 = 314.30 : x
  2. Step 2: Convert to fraction form
    1,083.80/1,625.96 = 314.30/x
  3. Step 3: Cross multiply
    1,083.80x = 1,625.96 × 314.30
  4. Step 4: Simplify right side
    1,083.80x = 511,044.08
  5. Step 5: Solve for x
    x = 511,044.08/1,083.80
  6. Step 6: Final answer
    x = 471.53

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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.