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Finding the Fourth Proportional to 802.98, 1,107.99 and 453.60

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Solution

The fourth proportional to 802.98, 1,107.99 and 453.60 is: 625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.98 : 1,107.99 = 453.60 : x
  2. Step 2: Convert to fraction form
    802.98/1,107.99 = 453.60/x
  3. Step 3: Cross multiply
    802.98x = 1,107.99 × 453.60
  4. Step 4: Simplify right side
    802.98x = 502,584.26
  5. Step 5: Solve for x
    x = 502,584.26/802.98
  6. Step 6: Final answer
    x = 625.90

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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.