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Finding the Fourth Proportional to 802.56, 1,203.84 and 696.32

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Solution

The fourth proportional to 802.56, 1,203.84 and 696.32 is: 1,044.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.56 : 1,203.84 = 696.32 : x
  2. Step 2: Convert to fraction form
    802.56/1,203.84 = 696.32/x
  3. Step 3: Cross multiply
    802.56x = 1,203.84 × 696.32
  4. Step 4: Simplify right side
    802.56x = 838,257.87
  5. Step 5: Solve for x
    x = 838,257.87/802.56
  6. Step 6: Final answer
    x = 1,044.48

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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.