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Finding the Fourth Proportional to 802.35, 1,203.69 and 455.84

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Solution

The fourth proportional to 802.35, 1,203.69 and 455.84 is: 683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.35 : 1,203.69 = 455.84 : x
  2. Step 2: Convert to fraction form
    802.35/1,203.69 = 455.84/x
  3. Step 3: Cross multiply
    802.35x = 1,203.69 × 455.84
  4. Step 4: Simplify right side
    802.35x = 548,689.95
  5. Step 5: Solve for x
    x = 548,689.95/802.35
  6. Step 6: Final answer
    x = 683.86

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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.