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Finding the Fourth Proportional to 802.04, 1,201.97 and 596.99

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Solution

The fourth proportional to 802.04, 1,201.97 and 596.99 is: 894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.04 : 1,201.97 = 596.99 : x
  2. Step 2: Convert to fraction form
    802.04/1,201.97 = 596.99/x
  3. Step 3: Cross multiply
    802.04x = 1,201.97 × 596.99
  4. Step 4: Simplify right side
    802.04x = 717,568.57
  5. Step 5: Solve for x
    x = 717,568.57/802.04
  6. Step 6: Final answer
    x = 894.68

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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.