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Finding the Fourth Proportional to 1,166.39, 1,749.62 and 300.70

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Solution

The fourth proportional to 1,166.39, 1,749.62 and 300.70 is: 451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.39 : 1,749.62 = 300.70 : x
  2. Step 2: Convert to fraction form
    1,166.39/1,749.62 = 300.70/x
  3. Step 3: Cross multiply
    1,166.39x = 1,749.62 × 300.70
  4. Step 4: Simplify right side
    1,166.39x = 526,116.11
  5. Step 5: Solve for x
    x = 526,116.11/1,166.39
  6. Step 6: Final answer
    x = 451.06

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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.