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Finding the Fourth Proportional to 1,089.69, 1,633.92 and 359.07

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Solution

The fourth proportional to 1,089.69, 1,633.92 and 359.07 is: 538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.69 : 1,633.92 = 359.07 : x
  2. Step 2: Convert to fraction form
    1,089.69/1,633.92 = 359.07/x
  3. Step 3: Cross multiply
    1,089.69x = 1,633.92 × 359.07
  4. Step 4: Simplify right side
    1,089.69x = 586,691.65
  5. Step 5: Solve for x
    x = 586,691.65/1,089.69
  6. Step 6: Final answer
    x = 538.40

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