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Finding the Fourth Proportional to 869.69, 1,305.32 and 459.11

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Solution

The fourth proportional to 869.69, 1,305.32 and 459.11 is: 689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.69 : 1,305.32 = 459.11 : x
  2. Step 2: Convert to fraction form
    869.69/1,305.32 = 459.11/x
  3. Step 3: Cross multiply
    869.69x = 1,305.32 × 459.11
  4. Step 4: Simplify right side
    869.69x = 599,285.47
  5. Step 5: Solve for x
    x = 599,285.47/869.69
  6. Step 6: Final answer
    x = 689.08

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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.