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Finding the Fourth Proportional to 786.53, 1,085.24 and 471.71

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Solution

The fourth proportional to 786.53, 1,085.24 and 471.71 is: 650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.53 : 1,085.24 = 471.71 : x
  2. Step 2: Convert to fraction form
    786.53/1,085.24 = 471.71/x
  3. Step 3: Cross multiply
    786.53x = 1,085.24 × 471.71
  4. Step 4: Simplify right side
    786.53x = 511,910.78
  5. Step 5: Solve for x
    x = 511,910.78/786.53
  6. Step 6: Final answer
    x = 650.85

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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.