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Finding the Fourth Proportional to 1,166.36, 1,749.78 and 386.42

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Solution

The fourth proportional to 1,166.36, 1,749.78 and 386.42 is: 579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.36 : 1,749.78 = 386.42 : x
  2. Step 2: Convert to fraction form
    1,166.36/1,749.78 = 386.42/x
  3. Step 3: Cross multiply
    1,166.36x = 1,749.78 × 386.42
  4. Step 4: Simplify right side
    1,166.36x = 676,141.24
  5. Step 5: Solve for x
    x = 676,141.24/1,166.36
  6. Step 6: Final answer
    x = 579.70

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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.