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Finding the Fourth Proportional to 1,089.87, 1,635.02 and 431.62

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Solution

The fourth proportional to 1,089.87, 1,635.02 and 431.62 is: 647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.87 : 1,635.02 = 431.62 : x
  2. Step 2: Convert to fraction form
    1,089.87/1,635.02 = 431.62/x
  3. Step 3: Cross multiply
    1,089.87x = 1,635.02 × 431.62
  4. Step 4: Simplify right side
    1,089.87x = 705,711.98
  5. Step 5: Solve for x
    x = 705,711.98/1,089.87
  6. Step 6: Final answer
    x = 647.52

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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.