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Finding the Fourth Proportional to 1,089.70, 1,633.23 and 503.90

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Solution

The fourth proportional to 1,089.70, 1,633.23 and 503.90 is: 755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.70 : 1,633.23 = 503.90 : x
  2. Step 2: Convert to fraction form
    1,089.70/1,633.23 = 503.90/x
  3. Step 3: Cross multiply
    1,089.70x = 1,633.23 × 503.90
  4. Step 4: Simplify right side
    1,089.70x = 822,976.43
  5. Step 5: Solve for x
    x = 822,976.43/1,089.70
  6. Step 6: Final answer
    x = 755.23

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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.