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Finding the Fourth Proportional to 1,166.66, 1,749.99 and 300.98

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Solution

The fourth proportional to 1,166.66, 1,749.99 and 300.98 is: 451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.66 : 1,749.99 = 300.98 : x
  2. Step 2: Convert to fraction form
    1,166.66/1,749.99 = 300.98/x
  3. Step 3: Cross multiply
    1,166.66x = 1,749.99 × 300.98
  4. Step 4: Simplify right side
    1,166.66x = 526,703.24
  5. Step 5: Solve for x
    x = 526,703.24/1,166.66
  6. Step 6: Final answer
    x = 451.46

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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.