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Finding the Fourth Proportional to 785.45, 1,083.87 and 431.35

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Solution

The fourth proportional to 785.45, 1,083.87 and 431.35 is: 595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.45 : 1,083.87 = 431.35 : x
  2. Step 2: Convert to fraction form
    785.45/1,083.87 = 431.35/x
  3. Step 3: Cross multiply
    785.45x = 1,083.87 × 431.35
  4. Step 4: Simplify right side
    785.45x = 467,527.32
  5. Step 5: Solve for x
    x = 467,527.32/785.45
  6. Step 6: Final answer
    x = 595.23

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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.