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Finding the Fourth Proportional to 785.09, 1,083.39 and 435.77

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Solution

The fourth proportional to 785.09, 1,083.39 and 435.77 is: 601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.09 : 1,083.39 = 435.77 : x
  2. Step 2: Convert to fraction form
    785.09/1,083.39 = 435.77/x
  3. Step 3: Cross multiply
    785.09x = 1,083.39 × 435.77
  4. Step 4: Simplify right side
    785.09x = 472,108.86
  5. Step 5: Solve for x
    x = 472,108.86/785.09
  6. Step 6: Final answer
    x = 601.34

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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.