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Finding the Fourth Proportional to 785.02, 1,083.31 and 435.71

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Solution

The fourth proportional to 785.02, 1,083.31 and 435.71 is: 601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.02 : 1,083.31 = 435.71 : x
  2. Step 2: Convert to fraction form
    785.02/1,083.31 = 435.71/x
  3. Step 3: Cross multiply
    785.02x = 1,083.31 × 435.71
  4. Step 4: Simplify right side
    785.02x = 472,002.49
  5. Step 5: Solve for x
    x = 472,002.49/785.02
  6. Step 6: Final answer
    x = 601.26

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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.