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Finding the Fourth Proportional to 798.40, 1,191.89 and 675.28

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Solution

The fourth proportional to 798.40, 1,191.89 and 675.28 is: 1,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.40 : 1,191.89 = 675.28 : x
  2. Step 2: Convert to fraction form
    798.40/1,191.89 = 675.28/x
  3. Step 3: Cross multiply
    798.40x = 1,191.89 × 675.28
  4. Step 4: Simplify right side
    798.40x = 804,859.48
  5. Step 5: Solve for x
    x = 804,859.48/798.40
  6. Step 6: Final answer
    x = 1,008.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.