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Finding the Fourth Proportional to 786.39, 1,085.09 and 471.57

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Solution

The fourth proportional to 786.39, 1,085.09 and 471.57 is: 650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.39 : 1,085.09 = 471.57 : x
  2. Step 2: Convert to fraction form
    786.39/1,085.09 = 471.57/x
  3. Step 3: Cross multiply
    786.39x = 1,085.09 × 471.57
  4. Step 4: Simplify right side
    786.39x = 511,695.89
  5. Step 5: Solve for x
    x = 511,695.89/786.39
  6. Step 6: Final answer
    x = 650.69

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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.