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Finding the Fourth Proportional to 802.20, 1,106.22 and 784.32

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Solution

The fourth proportional to 802.20, 1,106.22 and 784.32 is: 1,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.20 : 1,106.22 = 784.32 : x
  2. Step 2: Convert to fraction form
    802.20/1,106.22 = 784.32/x
  3. Step 3: Cross multiply
    802.20x = 1,106.22 × 784.32
  4. Step 4: Simplify right side
    802.20x = 867,630.47
  5. Step 5: Solve for x
    x = 867,630.47/802.20
  6. Step 6: Final answer
    x = 1,081.56

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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.