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Finding the Fourth Proportional to 786.80, 1,080.90 and 705

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Solution

The fourth proportional to 786.80, 1,080.90 and 705 is: 968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.80 : 1,080.90 = 705 : x
  2. Step 2: Convert to fraction form
    786.80/1,080.90 = 705/x
  3. Step 3: Cross multiply
    786.80x = 1,080.90 × 705
  4. Step 4: Simplify right side
    786.80x = 762,034.50
  5. Step 5: Solve for x
    x = 762,034.50/786.80
  6. Step 6: Final answer
    x = 968.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.