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Finding the Fourth Proportional to 1,273.42, 1,909.64 and 493.48

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Solution

The fourth proportional to 1,273.42, 1,909.64 and 493.48 is: 740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.42 : 1,909.64 = 493.48 : x
  2. Step 2: Convert to fraction form
    1,273.42/1,909.64 = 493.48/x
  3. Step 3: Cross multiply
    1,273.42x = 1,909.64 × 493.48
  4. Step 4: Simplify right side
    1,273.42x = 942,369.15
  5. Step 5: Solve for x
    x = 942,369.15/1,273.42
  6. Step 6: Final answer
    x = 740.03

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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.