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Finding the Fourth Proportional to 1,089.82, 1,634.74 and 472.66

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Solution

The fourth proportional to 1,089.82, 1,634.74 and 472.66 is: 708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.82 : 1,634.74 = 472.66 : x
  2. Step 2: Convert to fraction form
    1,089.82/1,634.74 = 472.66/x
  3. Step 3: Cross multiply
    1,089.82x = 1,634.74 × 472.66
  4. Step 4: Simplify right side
    1,089.82x = 772,676.21
  5. Step 5: Solve for x
    x = 772,676.21/1,089.82
  6. Step 6: Final answer
    x = 708.99

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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.