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Finding the Fourth Proportional to 869.94, 1,305.68 and 459.35

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Solution

The fourth proportional to 869.94, 1,305.68 and 459.35 is: 689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.94 : 1,305.68 = 459.35 : x
  2. Step 2: Convert to fraction form
    869.94/1,305.68 = 459.35/x
  3. Step 3: Cross multiply
    869.94x = 1,305.68 × 459.35
  4. Step 4: Simplify right side
    869.94x = 599,765.08
  5. Step 5: Solve for x
    x = 599,765.08/869.94
  6. Step 6: Final answer
    x = 689.43

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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.