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Finding the Fourth Proportional to 1,187.36, 1,781.06 and 321.65

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Solution

The fourth proportional to 1,187.36, 1,781.06 and 321.65 is: 482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.36 : 1,781.06 = 321.65 : x
  2. Step 2: Convert to fraction form
    1,187.36/1,781.06 = 321.65/x
  3. Step 3: Cross multiply
    1,187.36x = 1,781.06 × 321.65
  4. Step 4: Simplify right side
    1,187.36x = 572,867.44
  5. Step 5: Solve for x
    x = 572,867.44/1,187.36
  6. Step 6: Final answer
    x = 482.47

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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.