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Finding the Fourth Proportional to 1,089.69, 1,634.01 and 358.98

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Solution

The fourth proportional to 1,089.69, 1,634.01 and 358.98 is: 538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.69 : 1,634.01 = 358.98 : x
  2. Step 2: Convert to fraction form
    1,089.69/1,634.01 = 358.98/x
  3. Step 3: Cross multiply
    1,089.69x = 1,634.01 × 358.98
  4. Step 4: Simplify right side
    1,089.69x = 586,576.91
  5. Step 5: Solve for x
    x = 586,576.91/1,089.69
  6. Step 6: Final answer
    x = 538.30

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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.