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Finding the Fourth Proportional to 802.89, 1,204.32 and 641.60

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Solution

The fourth proportional to 802.89, 1,204.32 and 641.60 is: 962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.89 : 1,204.32 = 641.60 : x
  2. Step 2: Convert to fraction form
    802.89/1,204.32 = 641.60/x
  3. Step 3: Cross multiply
    802.89x = 1,204.32 × 641.60
  4. Step 4: Simplify right side
    802.89x = 772,685.69
  5. Step 5: Solve for x
    x = 772,685.69/802.89
  6. Step 6: Final answer
    x = 962.39

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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.