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Finding the Fourth Proportional to 798.90, 1,197.39 and 470.00

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Solution

The fourth proportional to 798.90, 1,197.39 and 470.00 is: 704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.90 : 1,197.39 = 470.00 : x
  2. Step 2: Convert to fraction form
    798.90/1,197.39 = 470.00/x
  3. Step 3: Cross multiply
    798.90x = 1,197.39 × 470.00
  4. Step 4: Simplify right side
    798.90x = 562,769.08
  5. Step 5: Solve for x
    x = 562,769.08/798.90
  6. Step 6: Final answer
    x = 704.43

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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.