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Finding the Fourth Proportional to 1,305.79, 1,800.81 and 864.13

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Solution

The fourth proportional to 1,305.79, 1,800.81 and 864.13 is: 1,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.79 : 1,800.81 = 864.13 : x
  2. Step 2: Convert to fraction form
    1,305.79/1,800.81 = 864.13/x
  3. Step 3: Cross multiply
    1,305.79x = 1,800.81 × 864.13
  4. Step 4: Simplify right side
    1,305.79x = 1,556,133.95
  5. Step 5: Solve for x
    x = 1,556,133.95/1,305.79
  6. Step 6: Final answer
    x = 1,191.72

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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.