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Finding the Fourth Proportional to 786.74, 1,085.31 and 471.83

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Solution

The fourth proportional to 786.74, 1,085.31 and 471.83 is: 650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.74 : 1,085.31 = 471.83 : x
  2. Step 2: Convert to fraction form
    786.74/1,085.31 = 471.83/x
  3. Step 3: Cross multiply
    786.74x = 1,085.31 × 471.83
  4. Step 4: Simplify right side
    786.74x = 512,076.39
  5. Step 5: Solve for x
    x = 512,076.39/786.74
  6. Step 6: Final answer
    x = 650.89

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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.