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Finding the Fourth Proportional to 1,083.96, 1,627.14 and 435.14

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Solution

The fourth proportional to 1,083.96, 1,627.14 and 435.14 is: 653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.96 : 1,627.14 = 435.14 : x
  2. Step 2: Convert to fraction form
    1,083.96/1,627.14 = 435.14/x
  3. Step 3: Cross multiply
    1,083.96x = 1,627.14 × 435.14
  4. Step 4: Simplify right side
    1,083.96x = 708,033.70
  5. Step 5: Solve for x
    x = 708,033.70/1,083.96
  6. Step 6: Final answer
    x = 653.19

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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.