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Finding the Fourth Proportional to 785.76, 1,084.62 and 471.12

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Solution

The fourth proportional to 785.76, 1,084.62 and 471.12 is: 650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.76 : 1,084.62 = 471.12 : x
  2. Step 2: Convert to fraction form
    785.76/1,084.62 = 471.12/x
  3. Step 3: Cross multiply
    785.76x = 1,084.62 × 471.12
  4. Step 4: Simplify right side
    785.76x = 510,986.17
  5. Step 5: Solve for x
    x = 510,986.17/785.76
  6. Step 6: Final answer
    x = 650.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.