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Finding the Fourth Proportional to 798.70, 1,102.26 and 601.90

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Solution

The fourth proportional to 798.70, 1,102.26 and 601.90 is: 830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.70 : 1,102.26 = 601.90 : x
  2. Step 2: Convert to fraction form
    798.70/1,102.26 = 601.90/x
  3. Step 3: Cross multiply
    798.70x = 1,102.26 × 601.90
  4. Step 4: Simplify right side
    798.70x = 663,450.29
  5. Step 5: Solve for x
    x = 663,450.29/798.70
  6. Step 6: Final answer
    x = 830.66

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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.