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Finding the Fourth Proportional to 1,089.83, 1,636.34 and 441.83

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Solution

The fourth proportional to 1,089.83, 1,636.34 and 441.83 is: 663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.83 : 1,636.34 = 441.83 : x
  2. Step 2: Convert to fraction form
    1,089.83/1,636.34 = 441.83/x
  3. Step 3: Cross multiply
    1,089.83x = 1,636.34 × 441.83
  4. Step 4: Simplify right side
    1,089.83x = 722,973.71
  5. Step 5: Solve for x
    x = 722,973.71/1,089.83
  6. Step 6: Final answer
    x = 663.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.