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Finding the Fourth Proportional to 782.94, 1,175.56 and 436.95

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Solution

The fourth proportional to 782.94, 1,175.56 and 436.95 is: 656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.94 : 1,175.56 = 436.95 : x
  2. Step 2: Convert to fraction form
    782.94/1,175.56 = 436.95/x
  3. Step 3: Cross multiply
    782.94x = 1,175.56 × 436.95
  4. Step 4: Simplify right side
    782.94x = 513,660.94
  5. Step 5: Solve for x
    x = 513,660.94/782.94
  6. Step 6: Final answer
    x = 656.07

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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.