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Finding the Fourth Proportional to 785.36, 1,083.96 and 654.14

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Solution

The fourth proportional to 785.36, 1,083.96 and 654.14 is: 902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.36 : 1,083.96 = 654.14 : x
  2. Step 2: Convert to fraction form
    785.36/1,083.96 = 654.14/x
  3. Step 3: Cross multiply
    785.36x = 1,083.96 × 654.14
  4. Step 4: Simplify right side
    785.36x = 709,061.59
  5. Step 5: Solve for x
    x = 709,061.59/785.36
  6. Step 6: Final answer
    x = 902.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.