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Finding the Fourth Proportional to 802.36, 1,205.22 and 712.96

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Solution

The fourth proportional to 802.36, 1,205.22 and 712.96 is: 1,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.36 : 1,205.22 = 712.96 : x
  2. Step 2: Convert to fraction form
    802.36/1,205.22 = 712.96/x
  3. Step 3: Cross multiply
    802.36x = 1,205.22 × 712.96
  4. Step 4: Simplify right side
    802.36x = 859,273.65
  5. Step 5: Solve for x
    x = 859,273.65/802.36
  6. Step 6: Final answer
    x = 1,070.93

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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.