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Finding the Fourth Proportional to 1,166.49, 1,749.53 and 386.51

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Solution

The fourth proportional to 1,166.49, 1,749.53 and 386.51 is: 579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.49 : 1,749.53 = 386.51 : x
  2. Step 2: Convert to fraction form
    1,166.49/1,749.53 = 386.51/x
  3. Step 3: Cross multiply
    1,166.49x = 1,749.53 × 386.51
  4. Step 4: Simplify right side
    1,166.49x = 676,203.06
  5. Step 5: Solve for x
    x = 676,203.06/1,166.49
  6. Step 6: Final answer
    x = 579.69

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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.