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Finding the Fourth Proportional to 1,272.90, 1,756.62 and 775.56

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Solution

The fourth proportional to 1,272.90, 1,756.62 and 775.56 is: 1,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.90 : 1,756.62 = 775.56 : x
  2. Step 2: Convert to fraction form
    1,272.90/1,756.62 = 775.56/x
  3. Step 3: Cross multiply
    1,272.90x = 1,756.62 × 775.56
  4. Step 4: Simplify right side
    1,272.90x = 1,362,364.21
  5. Step 5: Solve for x
    x = 1,362,364.21/1,272.90
  6. Step 6: Final answer
    x = 1,070.28

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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.