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Finding the Fourth Proportional to 807.75, 1,112.45 and 766.04

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Solution

The fourth proportional to 807.75, 1,112.45 and 766.04 is: 1,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.75 : 1,112.45 = 766.04 : x
  2. Step 2: Convert to fraction form
    807.75/1,112.45 = 766.04/x
  3. Step 3: Cross multiply
    807.75x = 1,112.45 × 766.04
  4. Step 4: Simplify right side
    807.75x = 852,177.55
  5. Step 5: Solve for x
    x = 852,177.55/807.75
  6. Step 6: Final answer
    x = 1,055.00

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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.