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Finding the Fourth Proportional to 1,186.58, 1,778.07 and 752.42

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Solution

The fourth proportional to 1,186.58, 1,778.07 and 752.42 is: 1,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.58 : 1,778.07 = 752.42 : x
  2. Step 2: Convert to fraction form
    1,186.58/1,778.07 = 752.42/x
  3. Step 3: Cross multiply
    1,186.58x = 1,778.07 × 752.42
  4. Step 4: Simplify right side
    1,186.58x = 1,337,855.43
  5. Step 5: Solve for x
    x = 1,337,855.43/1,186.58
  6. Step 6: Final answer
    x = 1,127.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.