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Finding the Fourth Proportional to 1,185.83, 1,778.54 and 319.94

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Solution

The fourth proportional to 1,185.83, 1,778.54 and 319.94 is: 479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.83 : 1,778.54 = 319.94 : x
  2. Step 2: Convert to fraction form
    1,185.83/1,778.54 = 319.94/x
  3. Step 3: Cross multiply
    1,185.83x = 1,778.54 × 319.94
  4. Step 4: Simplify right side
    1,185.83x = 569,026.09
  5. Step 5: Solve for x
    x = 569,026.09/1,185.83
  6. Step 6: Final answer
    x = 479.85

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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.