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Finding the Fourth Proportional to 785.48, 1,083.87 and 470.71

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Solution

The fourth proportional to 785.48, 1,083.87 and 470.71 is: 649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.48 : 1,083.87 = 470.71 : x
  2. Step 2: Convert to fraction form
    785.48/1,083.87 = 470.71/x
  3. Step 3: Cross multiply
    785.48x = 1,083.87 × 470.71
  4. Step 4: Simplify right side
    785.48x = 510,183.03
  5. Step 5: Solve for x
    x = 510,183.03/785.48
  6. Step 6: Final answer
    x = 649.52

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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.