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Finding the Fourth Proportional to 802.09, 1,106.84 and 452.75

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Solution

The fourth proportional to 802.09, 1,106.84 and 452.75 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.09 : 1,106.84 = 452.75 : x
  2. Step 2: Convert to fraction form
    802.09/1,106.84 = 452.75/x
  3. Step 3: Cross multiply
    802.09x = 1,106.84 × 452.75
  4. Step 4: Simplify right side
    802.09x = 501,119.55
  5. Step 5: Solve for x
    x = 501,119.55/802.09
  6. Step 6: Final answer
    x = 624.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.