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Finding the Fourth Proportional to 1,083.65, 1,625.77 and 434.84

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Solution

The fourth proportional to 1,083.65, 1,625.77 and 434.84 is: 652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.65 : 1,625.77 = 434.84 : x
  2. Step 2: Convert to fraction form
    1,083.65/1,625.77 = 434.84/x
  3. Step 3: Cross multiply
    1,083.65x = 1,625.77 × 434.84
  4. Step 4: Simplify right side
    1,083.65x = 706,942.24
  5. Step 5: Solve for x
    x = 706,942.24/1,083.65
  6. Step 6: Final answer
    x = 652.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.