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Finding the Fourth Proportional to 798.96, 1,198.08 and 470.07

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Solution

The fourth proportional to 798.96, 1,198.08 and 470.07 is: 704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.96 : 1,198.08 = 470.07 : x
  2. Step 2: Convert to fraction form
    798.96/1,198.08 = 470.07/x
  3. Step 3: Cross multiply
    798.96x = 1,198.08 × 470.07
  4. Step 4: Simplify right side
    798.96x = 563,181.47
  5. Step 5: Solve for x
    x = 563,181.47/798.96
  6. Step 6: Final answer
    x = 704.89

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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.