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Finding the Fourth Proportional to 802.36, 1,201.98 and 416.68

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Solution

The fourth proportional to 802.36, 1,201.98 and 416.68 is: 624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.36 : 1,201.98 = 416.68 : x
  2. Step 2: Convert to fraction form
    802.36/1,201.98 = 416.68/x
  3. Step 3: Cross multiply
    802.36x = 1,201.98 × 416.68
  4. Step 4: Simplify right side
    802.36x = 500,841.03
  5. Step 5: Solve for x
    x = 500,841.03/802.36
  6. Step 6: Final answer
    x = 624.21

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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.