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Finding the Fourth Proportional to 785.96, 1,084.40 and 471.24

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Solution

The fourth proportional to 785.96, 1,084.40 and 471.24 is: 650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.96 : 1,084.40 = 471.24 : x
  2. Step 2: Convert to fraction form
    785.96/1,084.40 = 471.24/x
  3. Step 3: Cross multiply
    785.96x = 1,084.40 × 471.24
  4. Step 4: Simplify right side
    785.96x = 511,012.66
  5. Step 5: Solve for x
    x = 511,012.66/785.96
  6. Step 6: Final answer
    x = 650.18

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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.