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Finding the Fourth Proportional to 1,273.42, 1,909.83 and 407.50

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Solution

The fourth proportional to 1,273.42, 1,909.83 and 407.50 is: 611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.42 : 1,909.83 = 407.50 : x
  2. Step 2: Convert to fraction form
    1,273.42/1,909.83 = 407.50/x
  3. Step 3: Cross multiply
    1,273.42x = 1,909.83 × 407.50
  4. Step 4: Simplify right side
    1,273.42x = 778,255.73
  5. Step 5: Solve for x
    x = 778,255.73/1,273.42
  6. Step 6: Final answer
    x = 611.15

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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.