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Finding the Fourth Proportional to 1,240.40, 1,709.88 and 773.84

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Solution

The fourth proportional to 1,240.40, 1,709.88 and 773.84 is: 1,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.40 : 1,709.88 = 773.84 : x
  2. Step 2: Convert to fraction form
    1,240.40/1,709.88 = 773.84/x
  3. Step 3: Cross multiply
    1,240.40x = 1,709.88 × 773.84
  4. Step 4: Simplify right side
    1,240.40x = 1,323,173.54
  5. Step 5: Solve for x
    x = 1,323,173.54/1,240.40
  6. Step 6: Final answer
    x = 1,066.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.