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Finding the Fourth Proportional to 1,277.40, 1,762.86 and 780.26

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Solution

The fourth proportional to 1,277.40, 1,762.86 and 780.26 is: 1,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.40 : 1,762.86 = 780.26 : x
  2. Step 2: Convert to fraction form
    1,277.40/1,762.86 = 780.26/x
  3. Step 3: Cross multiply
    1,277.40x = 1,762.86 × 780.26
  4. Step 4: Simplify right side
    1,277.40x = 1,375,486.03
  5. Step 5: Solve for x
    x = 1,375,486.03/1,277.40
  6. Step 6: Final answer
    x = 1,076.79

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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.