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Finding the Fourth Proportional to 798.45, 1,101.87 and 601.62

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Solution

The fourth proportional to 798.45, 1,101.87 and 601.62 is: 830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.45 : 1,101.87 = 601.62 : x
  2. Step 2: Convert to fraction form
    798.45/1,101.87 = 601.62/x
  3. Step 3: Cross multiply
    798.45x = 1,101.87 × 601.62
  4. Step 4: Simplify right side
    798.45x = 662,907.03
  5. Step 5: Solve for x
    x = 662,907.03/798.45
  6. Step 6: Final answer
    x = 830.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.