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Finding the Fourth Proportional to 788.94, 1,085.67 and 784.22

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Solution

The fourth proportional to 788.94, 1,085.67 and 784.22 is: 1,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.94 : 1,085.67 = 784.22 : x
  2. Step 2: Convert to fraction form
    788.94/1,085.67 = 784.22/x
  3. Step 3: Cross multiply
    788.94x = 1,085.67 × 784.22
  4. Step 4: Simplify right side
    788.94x = 851,398.70
  5. Step 5: Solve for x
    x = 851,398.70/788.94
  6. Step 6: Final answer
    x = 1,079.17

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Why These Related Problems?

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