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Finding the Fourth Proportional to 804.97, 1,115.18 and 785.84

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Solution

The fourth proportional to 804.97, 1,115.18 and 785.84 is: 1,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.97 : 1,115.18 = 785.84 : x
  2. Step 2: Convert to fraction form
    804.97/1,115.18 = 785.84/x
  3. Step 3: Cross multiply
    804.97x = 1,115.18 × 785.84
  4. Step 4: Simplify right side
    804.97x = 876,346.49
  5. Step 5: Solve for x
    x = 876,346.49/804.97
  6. Step 6: Final answer
    x = 1,088.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.