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Finding the Fourth Proportional to 1,109.03, 1,663.74 and 459.74

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Solution

The fourth proportional to 1,109.03, 1,663.74 and 459.74 is: 689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.03 : 1,663.74 = 459.74 : x
  2. Step 2: Convert to fraction form
    1,109.03/1,663.74 = 459.74/x
  3. Step 3: Cross multiply
    1,109.03x = 1,663.74 × 459.74
  4. Step 4: Simplify right side
    1,109.03x = 764,879.51
  5. Step 5: Solve for x
    x = 764,879.51/1,109.03
  6. Step 6: Final answer
    x = 689.69

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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.