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Finding the Fourth Proportional to 785.29, 1,083.69 and 435.97

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Solution

The fourth proportional to 785.29, 1,083.69 and 435.97 is: 601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.29 : 1,083.69 = 435.97 : x
  2. Step 2: Convert to fraction form
    785.29/1,083.69 = 435.97/x
  3. Step 3: Cross multiply
    785.29x = 1,083.69 × 435.97
  4. Step 4: Simplify right side
    785.29x = 472,459.04
  5. Step 5: Solve for x
    x = 472,459.04/785.29
  6. Step 6: Final answer
    x = 601.64

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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.