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Finding the Fourth Proportional to 802.80, 1,204.56 and 455.76

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Solution

The fourth proportional to 802.80, 1,204.56 and 455.76 is: 683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.80 : 1,204.56 = 455.76 : x
  2. Step 2: Convert to fraction form
    802.80/1,204.56 = 455.76/x
  3. Step 3: Cross multiply
    802.80x = 1,204.56 × 455.76
  4. Step 4: Simplify right side
    802.80x = 548,990.27
  5. Step 5: Solve for x
    x = 548,990.27/802.80
  6. Step 6: Final answer
    x = 683.84

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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.