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Finding the Fourth Proportional to 802.65, 1,210.11 and 792.27

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Solution

The fourth proportional to 802.65, 1,210.11 and 792.27 is: 1,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.65 : 1,210.11 = 792.27 : x
  2. Step 2: Convert to fraction form
    802.65/1,210.11 = 792.27/x
  3. Step 3: Cross multiply
    802.65x = 1,210.11 × 792.27
  4. Step 4: Simplify right side
    802.65x = 958,733.85
  5. Step 5: Solve for x
    x = 958,733.85/802.65
  6. Step 6: Final answer
    x = 1,194.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.