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Finding the Fourth Proportional to 802.64, 1,107.18 and 786.30

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Solution

The fourth proportional to 802.64, 1,107.18 and 786.30 is: 1,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.64 : 1,107.18 = 786.30 : x
  2. Step 2: Convert to fraction form
    802.64/1,107.18 = 786.30/x
  3. Step 3: Cross multiply
    802.64x = 1,107.18 × 786.30
  4. Step 4: Simplify right side
    802.64x = 870,575.63
  5. Step 5: Solve for x
    x = 870,575.63/802.64
  6. Step 6: Final answer
    x = 1,084.64

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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.