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Finding the Fourth Proportional to 1,278.86, 1,917.69 and 499.23

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Solution

The fourth proportional to 1,278.86, 1,917.69 and 499.23 is: 748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.86 : 1,917.69 = 499.23 : x
  2. Step 2: Convert to fraction form
    1,278.86/1,917.69 = 499.23/x
  3. Step 3: Cross multiply
    1,278.86x = 1,917.69 × 499.23
  4. Step 4: Simplify right side
    1,278.86x = 957,368.38
  5. Step 5: Solve for x
    x = 957,368.38/1,278.86
  6. Step 6: Final answer
    x = 748.61

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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.