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Finding the Fourth Proportional to 865.80, 1,298.70 and 798.30

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Solution

The fourth proportional to 865.80, 1,298.70 and 798.30 is: 1,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.80 : 1,298.70 = 798.30 : x
  2. Step 2: Convert to fraction form
    865.80/1,298.70 = 798.30/x
  3. Step 3: Cross multiply
    865.80x = 1,298.70 × 798.30
  4. Step 4: Simplify right side
    865.80x = 1,036,752.21
  5. Step 5: Solve for x
    x = 1,036,752.21/865.80
  6. Step 6: Final answer
    x = 1,197.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.