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Finding the Fourth Proportional to 1,089.27, 1,633.64 and 512.01

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Solution

The fourth proportional to 1,089.27, 1,633.64 and 512.01 is: 767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.27 : 1,633.64 = 512.01 : x
  2. Step 2: Convert to fraction form
    1,089.27/1,633.64 = 512.01/x
  3. Step 3: Cross multiply
    1,089.27x = 1,633.64 × 512.01
  4. Step 4: Simplify right side
    1,089.27x = 836,437.46
  5. Step 5: Solve for x
    x = 836,437.46/1,089.27
  6. Step 6: Final answer
    x = 767.89

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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.