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Finding the Fourth Proportional to 859.92, 1,186.20 and 802.32

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Solution

The fourth proportional to 859.92, 1,186.20 and 802.32 is: 1,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.92 : 1,186.20 = 802.32 : x
  2. Step 2: Convert to fraction form
    859.92/1,186.20 = 802.32/x
  3. Step 3: Cross multiply
    859.92x = 1,186.20 × 802.32
  4. Step 4: Simplify right side
    859.92x = 951,711.98
  5. Step 5: Solve for x
    x = 951,711.98/859.92
  6. Step 6: Final answer
    x = 1,106.74

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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.