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Finding the Fourth Proportional to 798.40, 1,191.28 and 670.40

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Solution

The fourth proportional to 798.40, 1,191.28 and 670.40 is: 1,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.40 : 1,191.28 = 670.40 : x
  2. Step 2: Convert to fraction form
    798.40/1,191.28 = 670.40/x
  3. Step 3: Cross multiply
    798.40x = 1,191.28 × 670.40
  4. Step 4: Simplify right side
    798.40x = 798,634.11
  5. Step 5: Solve for x
    x = 798,634.11/798.40
  6. Step 6: Final answer
    x = 1,000.29

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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.