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Finding the Fourth Proportional to 1,115.74, 1,673.49 and 293.98

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Solution

The fourth proportional to 1,115.74, 1,673.49 and 293.98 is: 440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.74 : 1,673.49 = 293.98 : x
  2. Step 2: Convert to fraction form
    1,115.74/1,673.49 = 293.98/x
  3. Step 3: Cross multiply
    1,115.74x = 1,673.49 × 293.98
  4. Step 4: Simplify right side
    1,115.74x = 491,972.59
  5. Step 5: Solve for x
    x = 491,972.59/1,115.74
  6. Step 6: Final answer
    x = 440.94

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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.