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Finding the Fourth Proportional to 1,195.20, 1,647.54 and 775.49

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Solution

The fourth proportional to 1,195.20, 1,647.54 and 775.49 is: 1,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.20 : 1,647.54 = 775.49 : x
  2. Step 2: Convert to fraction form
    1,195.20/1,647.54 = 775.49/x
  3. Step 3: Cross multiply
    1,195.20x = 1,647.54 × 775.49
  4. Step 4: Simplify right side
    1,195.20x = 1,277,642.56
  5. Step 5: Solve for x
    x = 1,277,642.56/1,195.20
  6. Step 6: Final answer
    x = 1,068.98

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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.