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Finding the Fourth Proportional to 1,078.59, 1,614.11 and 804

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Solution

The fourth proportional to 1,078.59, 1,614.11 and 804 is: 1,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.59 : 1,614.11 = 804 : x
  2. Step 2: Convert to fraction form
    1,078.59/1,614.11 = 804/x
  3. Step 3: Cross multiply
    1,078.59x = 1,614.11 × 804
  4. Step 4: Simplify right side
    1,078.59x = 1,297,740.42
  5. Step 5: Solve for x
    x = 1,297,740.42/1,078.59
  6. Step 6: Final answer
    x = 1,203.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.