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Finding the Fourth Proportional to 1,089.48, 1,633.26 and 405

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Solution

The fourth proportional to 1,089.48, 1,633.26 and 405 is: 607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.48 : 1,633.26 = 405 : x
  2. Step 2: Convert to fraction form
    1,089.48/1,633.26 = 405/x
  3. Step 3: Cross multiply
    1,089.48x = 1,633.26 × 405
  4. Step 4: Simplify right side
    1,089.48x = 661,470.30
  5. Step 5: Solve for x
    x = 661,470.30/1,089.48
  6. Step 6: Final answer
    x = 607.14

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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.