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Finding the Fourth Proportional to 783.59, 1,175.67 and 418.17

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Solution

The fourth proportional to 783.59, 1,175.67 and 418.17 is: 627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.59 : 1,175.67 = 418.17 : x
  2. Step 2: Convert to fraction form
    783.59/1,175.67 = 418.17/x
  3. Step 3: Cross multiply
    783.59x = 1,175.67 × 418.17
  4. Step 4: Simplify right side
    783.59x = 491,629.92
  5. Step 5: Solve for x
    x = 491,629.92/783.59
  6. Step 6: Final answer
    x = 627.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.