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Finding the Fourth Proportional to 1,089.68, 1,633.68 and 511.88

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Solution

The fourth proportional to 1,089.68, 1,633.68 and 511.88 is: 767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.68 : 1,633.68 = 511.88 : x
  2. Step 2: Convert to fraction form
    1,089.68/1,633.68 = 511.88/x
  3. Step 3: Cross multiply
    1,089.68x = 1,633.68 × 511.88
  4. Step 4: Simplify right side
    1,089.68x = 836,239.95
  5. Step 5: Solve for x
    x = 836,239.95/1,089.68
  6. Step 6: Final answer
    x = 767.42

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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.