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Finding the Fourth Proportional to 1,272.98, 1,756.83 and 775.74

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Solution

The fourth proportional to 1,272.98, 1,756.83 and 775.74 is: 1,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.98 : 1,756.83 = 775.74 : x
  2. Step 2: Convert to fraction form
    1,272.98/1,756.83 = 775.74/x
  3. Step 3: Cross multiply
    1,272.98x = 1,756.83 × 775.74
  4. Step 4: Simplify right side
    1,272.98x = 1,362,843.30
  5. Step 5: Solve for x
    x = 1,362,843.30/1,272.98
  6. Step 6: Final answer
    x = 1,070.60

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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.