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Finding the Fourth Proportional to 1,109.83, 1,665.76 and 562.39

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Solution

The fourth proportional to 1,109.83, 1,665.76 and 562.39 is: 844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.83 : 1,665.76 = 562.39 : x
  2. Step 2: Convert to fraction form
    1,109.83/1,665.76 = 562.39/x
  3. Step 3: Cross multiply
    1,109.83x = 1,665.76 × 562.39
  4. Step 4: Simplify right side
    1,109.83x = 936,806.77
  5. Step 5: Solve for x
    x = 936,806.77/1,109.83
  6. Step 6: Final answer
    x = 844.10

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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.