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Finding the Fourth Proportional to 1,195.07, 1,648.85 and 775.43

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Solution

The fourth proportional to 1,195.07, 1,648.85 and 775.43 is: 1,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.07 : 1,648.85 = 775.43 : x
  2. Step 2: Convert to fraction form
    1,195.07/1,648.85 = 775.43/x
  3. Step 3: Cross multiply
    1,195.07x = 1,648.85 × 775.43
  4. Step 4: Simplify right side
    1,195.07x = 1,278,573.82
  5. Step 5: Solve for x
    x = 1,278,573.82/1,195.07
  6. Step 6: Final answer
    x = 1,069.88

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1.5x scale

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.