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Finding the Fourth Proportional to 785.12, 1,083.62 and 470.44

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Solution

The fourth proportional to 785.12, 1,083.62 and 470.44 is: 649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.12 : 1,083.62 = 470.44 : x
  2. Step 2: Convert to fraction form
    785.12/1,083.62 = 470.44/x
  3. Step 3: Cross multiply
    785.12x = 1,083.62 × 470.44
  4. Step 4: Simplify right side
    785.12x = 509,778.19
  5. Step 5: Solve for x
    x = 509,778.19/785.12
  6. Step 6: Final answer
    x = 649.30

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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.