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Finding the Fourth Proportional to 802.64, 1,203.91 and 282.44

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Solution

The fourth proportional to 802.64, 1,203.91 and 282.44 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.64 : 1,203.91 = 282.44 : x
  2. Step 2: Convert to fraction form
    802.64/1,203.91 = 282.44/x
  3. Step 3: Cross multiply
    802.64x = 1,203.91 × 282.44
  4. Step 4: Simplify right side
    802.64x = 340,032.34
  5. Step 5: Solve for x
    x = 340,032.34/802.64
  6. Step 6: Final answer
    x = 423.64

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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.