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Finding the Fourth Proportional to 1,089.69, 1,634.72 and 359.25

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Solution

The fourth proportional to 1,089.69, 1,634.72 and 359.25 is: 538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.69 : 1,634.72 = 359.25 : x
  2. Step 2: Convert to fraction form
    1,089.69/1,634.72 = 359.25/x
  3. Step 3: Cross multiply
    1,089.69x = 1,634.72 × 359.25
  4. Step 4: Simplify right side
    1,089.69x = 587,271.36
  5. Step 5: Solve for x
    x = 587,271.36/1,089.69
  6. Step 6: Final answer
    x = 538.93

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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.