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Finding the Fourth Proportional to 1,166.45, 1,749.65 and 300.74

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Solution

The fourth proportional to 1,166.45, 1,749.65 and 300.74 is: 451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.45 : 1,749.65 = 300.74 : x
  2. Step 2: Convert to fraction form
    1,166.45/1,749.65 = 300.74/x
  3. Step 3: Cross multiply
    1,166.45x = 1,749.65 × 300.74
  4. Step 4: Simplify right side
    1,166.45x = 526,179.49
  5. Step 5: Solve for x
    x = 526,179.49/1,166.45
  6. Step 6: Final answer
    x = 451.10

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Why These Related Problems?

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