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Finding the Fourth Proportional to 1,168.66, 1,752.81 and 324.16

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Solution

The fourth proportional to 1,168.66, 1,752.81 and 324.16 is: 486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.66 : 1,752.81 = 324.16 : x
  2. Step 2: Convert to fraction form
    1,168.66/1,752.81 = 324.16/x
  3. Step 3: Cross multiply
    1,168.66x = 1,752.81 × 324.16
  4. Step 4: Simplify right side
    1,168.66x = 568,185.29
  5. Step 5: Solve for x
    x = 568,185.29/1,168.66
  6. Step 6: Final answer
    x = 486.18

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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.