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Finding the Fourth Proportional to 1,278.47, 1,917.42 and 498.50

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Solution

The fourth proportional to 1,278.47, 1,917.42 and 498.50 is: 747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.47 : 1,917.42 = 498.50 : x
  2. Step 2: Convert to fraction form
    1,278.47/1,917.42 = 498.50/x
  3. Step 3: Cross multiply
    1,278.47x = 1,917.42 × 498.50
  4. Step 4: Simplify right side
    1,278.47x = 955,824.28
  5. Step 5: Solve for x
    x = 955,824.28/1,278.47
  6. Step 6: Final answer
    x = 747.63

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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.