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Finding the Fourth Proportional to 1,166.33, 1,749.42 and 288.78

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Solution

The fourth proportional to 1,166.33, 1,749.42 and 288.78 is: 433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.33 : 1,749.42 = 288.78 : x
  2. Step 2: Convert to fraction form
    1,166.33/1,749.42 = 288.78/x
  3. Step 3: Cross multiply
    1,166.33x = 1,749.42 × 288.78
  4. Step 4: Simplify right side
    1,166.33x = 505,197.51
  5. Step 5: Solve for x
    x = 505,197.51/1,166.33
  6. Step 6: Final answer
    x = 433.15

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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.